https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/conceptual-understanding-of-dividing-fractions-by-fractions 2023-04-26T09:17:19.896568581Z Understanding division of fractions Dividing fractions can be understood using number lines and jumps. To divide a fraction like 8/3 by another fraction like 1/3, count the jumps of 1/3 needed to reach 8/3. Alternatively, multiply 8/3 by the reciprocal of the divisor (3/1) to get the same result. This concept applies to other fractions, such as dividing 8/3 by 2/3. Sal Khan video https://cdn.kastatic.org/googleusercontent/Q6ASbQmSOuXJNWk0IGjFBku1VECkZX-lMPQbzl_3VRyuPGzXtOcFLw49A8NDUCF_i4DeoXz6W90G9ftgsHT2peo Understanding division of fractions Dividing fractions can be understood using number lines and jumps. To divide a fraction like 8/3 by another fraction like 1/3, count the jumps of 1/3 needed to reach 8/3. Alternatively, multiply 8/3 by the reciprocal of the divisor (3/1) to get the same result. This concept applies to other fractions, such as dividing 8/3 by 2/3. https://cdn.kastatic.org/ka-youtube-converted/f3ySpxX9oeM.mp4/f3ySpxX9oeM.mp4 342 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/v/visually-dividing-a-fraction-by-a-whole-number 2023-06-30T02:13:42.781179102Z Dividing a fraction by a whole number Dividing fractions by whole numbers can be done visually or using multiplication. To find the result of 2/3 divided by 5, divide 2/3 into 5 equal parts, each representing 2/15 of the whole. Alternatively, multiply 2/3 by 1/5, resulting in 2/15 as the final answer. video https://cdn.kastatic.org/googleusercontent/7sOCF3Elh-FiFX2ENSfCkdB2hqadRFhlKbIirSrBxznueAwXHjUXZcP2ruS5GaaIQk5tPWTo4WxLX5a-v9D6yFuL Dividing a fraction by a whole number Dividing fractions by whole numbers can be done visually or using multiplication. To find the result of 2/3 divided by 5, divide 2/3 into 5 equal parts, each representing 2/15 of the whole. Alternatively, multiply 2/3 by 1/5, resulting in 2/15 as the final answer. https://cdn.kastatic.org/ka-youtube-converted/1YWyTdtofdE.mp4/1YWyTdtofdE.mp4 233 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/e/divide-fractions-by-whole-numbers 2023-12-11T22:10:22.66384181Z Divide fractions by whole numbers Practice dividing fractions by whole numbers. Lindsay Driscoll exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/v/meaning-of-the-reciprocal 2024-03-13T18:11:42.503301878Z Meaning of the reciprocal Reciprocals are essential in understanding fractions. To find the reciprocal of a fraction, simply swap the numerator and the denominator. The product of a number and its reciprocal always equals 1. Reciprocals help us determine how many times a specific fraction fits into the whole number 1, making them valuable in various mathematical operations. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/336cc065-985e-489b-b929-fe3640a52caf_1280_720_base.png Meaning of the reciprocal Reciprocals are essential in understanding fractions. To find the reciprocal of a fraction, simply swap the numerator and the denominator. The product of a number and its reciprocal always equals 1. Reciprocals help us determine how many times a specific fraction fits into the whole number 1, making them valuable in various mathematical operations. https://cdn.kastatic.org/ka-youtube-converted/yM9Yrz69Tys.mp4/yM9Yrz69Tys.mp4 253 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/v/whole-number-divided-by-a-fraction-example 2023-06-30T02:13:42.781179102Z Dividing a whole number by a fraction Dividing a whole number by a fraction involves multiplying the whole number by the fraction's reciprocal. For example, when dividing 4 by 2/3, multiply 4 by 3/2, resulting in 12/2, which equals 6. This method demonstrates how many sections of the fraction fit into the whole number. video https://cdn.kastatic.org/googleusercontent/E__BOCMzfFDDiS9jvGyuw_JptsPpRCcAnErR_z9RCs55ctv6mGkR-2qiXyzA2qCtk8Vtq__ZXPkgDETobo_QXC10 Dividing a whole number by a fraction Dividing a whole number by a fraction involves multiplying the whole number by the fraction's reciprocal. For example, when dividing 4 by 2/3, multiply 4 by 3/2, resulting in 12/2, which equals 6. This method demonstrates how many sections of the fraction fit into the whole number. https://cdn.kastatic.org/ka-youtube-converted/SPMoNUAbV48.mp4/SPMoNUAbV48.mp4 185 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/v/dividing-a-whole-number-by-a-fraction-with-reciprocal 2023-07-14T23:21:51.065682509Z Dividing a whole number by a fraction with reciprocal Dividing by a fraction involves finding the reciprocal and multiplying. For example, when dividing 8 by 7/5, first find the reciprocal of 7/5, which is 5/7. Then, multiply 8 by 5/7, resulting in 40/7 or 5 5/7. This method simplifies fraction division and enhances understanding. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/7f0cf92c-8612-4362-900f-1f2a72f4540a_1280_720_base.png Dividing a whole number by a fraction with reciprocal Dividing by a fraction involves finding the reciprocal and multiplying. For example, when dividing 8 by 7/5, first find the reciprocal of 7/5, which is 5/7. Then, multiply 8 by 5/7, resulting in 40/7 or 5 5/7. This method simplifies fraction division and enhances understanding. https://cdn.kastatic.org/ka-youtube-converted/G7c0CBLWVfs.mp4/G7c0CBLWVfs.mp4 216 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/e/divide-whole-numbers-by-fractions 2026-06-24T18:30:58.110322715Z Divide whole numbers by fractions Make sense of dividing whole numbers by non-unit fractions with a visual model. Lindsay Driscoll exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/another-dividing-fractions-example 2023-06-30T02:13:42.781179102Z Dividing fractions: 2/5 ÷ 7/3 Dividing fractions is a breeze when you follow these simple steps! First, multiply the first fraction by the reciprocal of the second fraction. Then, multiply the numerators and denominators separately. Voila! You've successfully divided two fractions and found your answer. Keep practicing to master this essential math skill. Sal Khan video https://cdn.kastatic.org/googleusercontent/bDwX0M304hn9GvEkdkHXuzo8EaA87XqWL09yhBZuIddU9onyudc_JhWMjo0MqdTmM_RMlVdyoAoPnQL4Vf_gktgi Dividing fractions: 2/5 ÷ 7/3 Dividing fractions is a breeze when you follow these simple steps! First, multiply the first fraction by the reciprocal of the second fraction. Then, multiply the numerators and denominators separately. Voila! You've successfully divided two fractions and found your answer. Keep practicing to master this essential math skill. https://cdn.kastatic.org/ka-youtube-converted/m-pRnFIeoNA.mp4/m-pRnFIeoNA.mp4 77 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/dividing-fractions-example 2021-06-30T17:51:04Z Dividing fractions: 3/5 ÷ 1/2 Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. Sal Khan video https://cdn.kastatic.org/googleusercontent/SS1ZrhCI_1AqtnKacX7usXrjTgwud09of8vBcIXUQtxf2cZz0XrbgSw8fH-5Ee4emyXzv4YXjuY-IO5rA-JRfhiv Dividing fractions: 3/5 ÷ 1/2 Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. https://cdn.kastatic.org/ka-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.mp4 216 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/dividing_fractions_1.5 2026-06-04T06:10:37.781589547Z Dividing fractions Divide fractions by fractions (positive only). exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/dividing-mixed-numbers-example 2022-11-16T04:22:43.7414897Z Dividing mixed numbers How do we divide mixed numbers? We can convert the mixed numbers to improper fractions, then simplify the division problem by finding the reciprocal of one of the fractions. This video also includes a demonstration of different ways of simplifying the final answer. video https://cdn.kastatic.org/googleusercontent/WEbWaXUphXLd2zUGK_UW-w4vR29LiTg3BwpcgdKOIlu0gp1BQYtvNsgXn4cIEp4zmTt_sbtqlKV6O0FCrd6t1ZSQ Dividing mixed numbers How do we divide mixed numbers? We can convert the mixed numbers to improper fractions, then simplify the division problem by finding the reciprocal of one of the fractions. This video also includes a demonstration of different ways of simplifying the final answer. https://cdn.kastatic.org/ka-youtube-converted/tj5AtYoKqvs.mp4/tj5AtYoKqvs.mp4 213 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/divide-mixed-numbers 2021-06-30T17:51:07Z Divide mixed numbers Divide mixed numbers by fractions, whole numbers, and mixed numbers. Lindsay exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/writing-fraction-division-story-problems 2023-07-14T23:21:51.065682509Z Writing fraction division story problems Darryl spent 24 1/4 hours writing a novel chapter, and we explore situations where dividing 24 1/4 by 3/4 is meaningful. Two examples include calculating the number of days spent writing with 45-minute daily sessions and determining the time spent illustrating if it's 3/4 as long as writing. Creative thinking helps uncover more scenarios. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/e51115a3-29e1-4768-9fe9-2b89fbb0aa80_1280_720_base.png Writing fraction division story problems Darryl spent 24 1/4 hours writing a novel chapter, and we explore situations where dividing 24 1/4 by 3/4 is meaningful. Two examples include calculating the number of days spent writing with 45-minute daily sessions and determining the time spent illustrating if it's 3/4 as long as writing. Creative thinking helps uncover more scenarios. https://cdn.kastatic.org/ka-youtube-converted/UEna8ZEy6k4.mp4/UEna8ZEy6k4.mp4 210 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/interpret-fraction-division 2024-06-28T19:35:09.634529642Z Interpret fraction division Interpret fraction division in context, and represent contexts with fraction division and multiplication. Charlotte Auen exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/dividing-fractions-word-problem 2023-06-30T02:13:42.781179102Z Dividing whole numbers & fractions: t-shirts In this math problem, we learn how to calculate the number of baby T-shirts that can be made from 48 yards of fabric. Each T-shirt requires 4/5 yards of fabric. By dividing 48 yards by 4/5 and simplifying, we find out that 60 baby T-shirts can be produced from the given fabric. Sal Khan video https://cdn.kastatic.org/googleusercontent/Hab8GrDGaCwWa5gDCBpBg_XFbTrF6PLm3WN6x1-To0Az20EQ_wp6-5mh-K1VmOhIYItAdhM516vocW5smgiWijU Dividing whole numbers & fractions: t-shirts In this math problem, we learn how to calculate the number of baby T-shirts that can be made from 48 yards of fabric. Each T-shirt requires 4/5 yards of fabric. By dividing 48 yards by 4/5 and simplifying, we find out that 60 baby T-shirts can be produced from the given fabric. https://cdn.kastatic.org/ka-youtube-converted/PQsgXNggV7Q.mp4/PQsgXNggV7Q.mp4 128 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/area-with-fraction-division-example 2023-07-14T23:21:51.065682509Z Area with fraction division example Discover the length of a yoga mat with a width of 3/5 meters and an area of 1 and 2/25 square meters. Use the formula length = area ÷ width, convert mixed numbers to improper fractions, and simplify. The final dimensions are 3/5 meters wide and 9/5 meters long, perfect for your yoga practice! Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/409e8f01-b94a-4472-a2f0-135de55c40d9_1280_720_base.png Area with fraction division example Discover the length of a yoga mat with a width of 3/5 meters and an area of 1 and 2/25 square meters. Use the formula length = area ÷ width, convert mixed numbers to improper fractions, and simplify. The final dimensions are 3/5 meters wide and 9/5 meters long, perfect for your yoga practice! https://cdn.kastatic.org/ka-youtube-converted/6K6tQulp-x8.mp4/6K6tQulp-x8.mp4 199 Dividing fractions by fractions https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/dividing-fractions-by-fractions-word-problems 2023-08-13T03:06:09.548544466Z Dividing fractions word problems Practice solving word problems by dividing fractions by fractions. Ben Stenhaug exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/a/dividing-fractions-review 2021-04-29T07:55:55Z Dividing fractions review Review the basics of dividing fractions, and try some practice problems. article