# What is #2 1/7 div 2 1/2#?

##### 2 Answers

Convert to fractions, multiply to get a common denominator, divide, giving you

#### Explanation:

Start by writing the problem as fractions.

Working with one set of numbers at a time, multiply to get a common denominator. The easiest and fastest route is usually to multiply one of your fractions by

First the numerator of the original problem.

Then we'll do the denominator of the original, multiplying

Now that all the addition fractions are over a common denominator and are all equal slices of the same pie, we can add numerators together.

Dividing by a fraction is the same as multiplying by the inverse of that fraction. Flip the numerator and denominator of the original denominator and multiply that against the original numerator.

Multiply numerators by numerators and denominators by denominators.

From there you could see both top and bottom are divisible by 5, so you can pull out 5 from the top and bottom, which is just one, and simplifying your problem to

Alternatively, you can cancel: 15 divided by 5 from the second fraction which leaves 3 in the numerator of the first, and then multiply numerators and denominators.

#### Explanation:

First change the mixed numbers into improper fractions.

Multiply by the reciprocal:

Note that by multiplying by