Step-by-step explanation:

2 2/5 ÷ 2/3=

Convert any mixed numbers to fractions.

Then your initial equation becomes:

125÷23

Applying the fractions formula for division,

=12×35×2

=3610

Simplifying 36/10, the answer is

=335

1/2 ÷ 1/3 =

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

12×31=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×32×1=32

This fraction cannot be reduced.

The fraction

32

is the same as

3÷2

Convert to a mixed number using

long division for 3 ÷ 2 = 1R1, so

32=112

Therefore:

12÷13=112

2 2/5 ÷ 2 1/4=

Convert any mixed numbers to fractions.

Then your initial equation becomes:

125÷94

Applying the fractions formula for division,

=12×45×9

=4845

Simplifying 48/45, the answer is

=1115