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## Lesson 11: Using an algorithm to divide fractions

# Dividing fractions: 2/5 ÷ 7/3

CCSS.Math:

## 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.