https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/a/writing-fractions-as-repeating-decimals-review 2021-04-29T08:02:37Z Writing fractions as repeating decimals review Review converting fractions to repeating decimals, and then try some practice problems. article https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/converting-a-fraction-to-a-repeating-decimal 2023-07-17T20:04:18.610848495Z Converting a fraction to a repeating decimal To convert a fraction like 19/27 into a decimal, you should divide 27 into 19, and use the remainder to figure out the decimal. The decimal begins 0.703703..., and the notation for a repeating decimal like this is to write the numbers that repeat and then put a line above them. The first six digits of the decimal should be included in the answer. Sal Khan video https://cdn.kastatic.org/googleusercontent/NVyuuWSvwxfY-Xr_n6iAspQY4wujrE7zremxpkhxsER33ixHW-eC6c__YxpxMvfHuEVsv0KhgEIQdltGopy0jApLeg Converting a fraction to a repeating decimal To convert a fraction like 19/27 into a decimal, you should divide 27 into 19, and use the remainder to figure out the decimal. The decimal begins 0.703703..., and the notation for a repeating decimal like this is to write the numbers that repeat and then put a line above them. The first six digits of the decimal should be included in the answer. https://cdn.kastatic.org/ka-youtube-converted/Y2-tz27nKoQ.mp4/Y2-tz27nKoQ.mp4 265 Fraction to repeating decimal and vice versa https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/e/writing-fractions-as-repeating-decimals 2026-02-11T23:51:41.856643374Z Writing fractions as repeating decimals Practice writing fractions as repeating decimals. Get ready to bust out those long division skills! Rhonda Hughes exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/coverting-repeating-decimals-to-fractions-1 2023-04-19T21:14:29.759927248Z Converting repeating decimals to fractions (part 1 of 2) The process of converting a repeating decimal to a fraction can be broken down into a few easy steps. To start, set the decimal equal to a variable. Multiply the decimal by 10 and subtract the original decimal from it. Finally, divide both sides by 9 to obtain the fractional form of the decimal. For example, 0.7 repeating would be 7/9, and 1.2 repeating would be 11/9. Sal Khan video https://cdn.kastatic.org/googleusercontent/GLMZM-HOxkDVtkmJM_7Taxe36-TTljjYkTY1V-etVMTnn5w-18DsD-PiAkTC3NiInTjqqAqXgTrsi6pZQN3v8wtP Converting repeating decimals to fractions (part 1 of 2) The process of converting a repeating decimal to a fraction can be broken down into a few easy steps. To start, set the decimal equal to a variable. Multiply the decimal by 10 and subtract the original decimal from it. Finally, divide both sides by 9 to obtain the fractional form of the decimal. For example, 0.7 repeating would be 7/9, and 1.2 repeating would be 11/9. https://cdn.kastatic.org/ka-youtube-converted/FPNhCVZlbJs.mp4/FPNhCVZlbJs.mp4 243 Fraction to repeating decimal and vice versa https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/a/writing-repeating-decimals-as-fractions-review 2021-04-29T08:02:27Z Writing repeating decimals as fractions review Review converting repeating decimals to fractions, and then try some practice problems. article https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/e/converting_repeating_decimals_to_fractions_1 2026-03-03T18:40:36.736505971Z Converting repeating decimals to fractions Practice converting 1- and 2-digit repeating decimals to fractions. migration_script exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/coverting-repeating-decimals-to-fractions-2 2026-01-13T12:52:09.519257972Z Converting repeating decimals to fractions (part 2 of 2) Repeated decimals can be converted into fractions by shifting the decimal to the right and subtracting the decimals. To do this, multiply the number by 10 to the second power, then subtract. For example, 0.363636 repeating is 4/11 and 0.7141414 repeating is 707/990. Another example is 3.257257257 repeating, which is 3254/999. This calculation can be done in the head or by borrowing. After the subtraction, the numerator and denominator can be reduced and the fraction can be simplified. Sal Khan video https://cdn.kastatic.org/googleusercontent/LGWD0YicFSlyNW_8RudE0udQDxlkezPUksbYpaXa8ovNyxpdpxmUVdW7MMrYopFdp-6ht6prDgiAVE9GIXybhTVP Converting repeating decimals to fractions (part 2 of 2) Repeated decimals can be converted into fractions by shifting the decimal to the right and subtracting the decimals. To do this, multiply the number by 10 to the second power, then subtract. For example, 0.363636 repeating is 4/11 and 0.7141414 repeating is 707/990. Another example is 3.257257257 repeating, which is 3254/999. This calculation can be done in the head or by borrowing. After the subtraction, the numerator and denominator can be reduced and the fraction can be simplified. https://cdn.kastatic.org/ka-youtube-converted/Ihws0d-WLzU.mp4/Ihws0d-WLzU.mp4 546 Fraction to repeating decimal and vice versa https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/e/converting_repeating_decimals_to_fractions_2 2025-02-27T11:46:16.621461116Z Converting multi-digit repeating decimals to fractions Practice converting multi-digit repeating decimals to fractions. Scott Menke exercise