# What are two equivalent fractions for 11/13?

Nov 9, 2016

$\frac{110}{130}$ or $\frac{22}{26}$

#### Explanation:

As long as the top and bottom of the fraction are kept to the same ratio - so the top and bottom numbers change by the same multiplier - the fraction is still the same.

Nov 13, 2016

We are not given specifics so we can choose what we wish.

$\frac{22}{26} \text{ "&" } \frac{33}{39}$

#### Explanation:

Both 11 and 13 are prime numbers so we can not reduce them proportionately and still have whole numbers. Thus we will need to increase them.

Multiply by 1 and you do not change the actual value. However, 1 comes in many forms.

$\frac{11}{13} \times 1 \to \frac{11}{13} \times \frac{2}{2} \text{ " = " "(11xx2)/(13xx2)" " =" } \frac{22}{26}$

$\frac{11}{13} \times 1 \to \frac{11}{13} \times \frac{3}{3} \text{ "=" "(11xx3)/(13xx3)" "=" } \frac{33}{39}$