How do you divide 2\frac { 5} { 7} \div \frac { 3} { 2}?

2 Answers
Husain A. ยท Stefan V.
Mar 12, 2018

38/21

Explanation:

First, change the mixed number into an improper fraction.

For 2 5/7, that's

((7*2) +5)/7 = 19/7

Then you flip the second fraction and add a xx sign, so

19/7 xx 2/3

Multiply the top and bottom numbers

38/21

Hope this helps!

Meave60
Mar 12, 2018

2 5/7-:3/2=color(blue)(38/21=1 17/21

Explanation:

Divide:

2 5/7-:3/2

First convert 2 5/7 to an improper fraction. Multiply the denominator by the whole number and then add the numerator. Place this over the denominator 7.

2 5/7=((7xx2+5))/7

2 5/7=19/7

Rewrite the expression.

19/7-:3/2

When dividing by a fraction, invert it and multiply.

19/7xx2/3

Multiply the numerators and denominators across.

(19xx2)/(7xx3)

Simplify.

38/21

38/21 can be converted to a mixed number.

Using long division, divide 38 by 21 to get the whole number quotient with a remainder. The whole number quotient becomes the whole number of the mixed number, the remainder becomes the numerator, and the divisor 21 is the denominator.

38-:21="1 remainder 17"

38/21=1 17/21

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