# How do you find a number that is between 7/11 and 7/10?

Jan 19, 2017

Find a common denominator

#### Explanation:

First get a common denominator. In this case $110$ would suffice.

$\frac{7}{11} = \frac{7}{11} \times \left(1\right) = \frac{7}{11} \times \left(\frac{10}{10}\right) = \frac{70}{110}$

$\frac{7}{10} = \frac{7}{10} \times \left(1\right) = \frac{7}{10} \times \left(\frac{11}{11}\right) = \frac{77}{110}$

Then a number between $\frac{7}{10}$ and $\frac{7}{11}$ is less that $\frac{77}{110}$ and greater than $\frac{70}{110}$.

An example would be $\frac{73}{110}$.