How do you evaluate 2\frac { 3} { 6} \div 2\frac { 4} { 5}236÷245?

1 Answer
Dec 19, 2016

25/282528

Explanation:

First we need to rewrite the mixed numbers as improper fractions.

2 3/6 divide 2 4/5 = 15/6 divide 14/5236÷245=156÷145

When dividing by a fraction it is the same as multiplying by its reciprocal.

15/6 * 5/14 = 45/84156514=4584

We can now simplify by finding the common factors.

(3*25)/(3*28) = (cancel3*25)/(cancel3*28) = 25/28