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Course: 6th grade > Unit 2
Lesson 5: Dividing fractions by fractions- Understanding division of fractions
- Dividing fractions: 2/5 ÷ 7/3
- Dividing fractions: 3/5 ÷ 1/2
- Dividing fractions
- Dividing mixed numbers
- Divide mixed numbers
- Writing fraction division story problems
- Interpret fraction division
- Dividing whole numbers & fractions: t-shirts
- Area with fraction division example
- Dividing fractions word problems
- Dividing fractions review
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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. Created by Sal Khan.
Video transcript
So let's calculate
what 2/5 divided by 7/3 is, and I encourage
you to pause this video and try to calculate
this on your own. Well we just have to
remind ourselves that this is going to be the exact
same thing as 2 over 5 times the reciprocal of 7/3,
which is 3 over 7. And then multiplying
two fractions is pretty straightforward. This is just going to
be equal to the product of the numerators. So 2 times 3 over the
product of the denominators, over 5 times 7-- I'm trying to
keep the colors consistent-- which of course is going
to be equal to 2 times 3 is equal to 6. And 5 times 7-- I'll do this
in a new color, let's see, I haven't used this shade of
blue yet-- 5 times 7 of course is equal to 35. So this is equal to 6/35.