# How can you evaluate 24/7-21/2+11/14?

Jul 26, 2015

Find a common denominator for your three fractions, then add their numerators.

#### Explanation:

In order to be able to add and/or substract fractions, you have to have common denominators. In your case, the common denominator for these three fractions is $14$.

In order to get the first two fractions to match this denominator, you have to multiply them by $\frac{2}{2}$ and $\frac{7}{7}$, respectively.

$\left(\frac{24}{7} \cdot \frac{2}{2}\right) - \left(\frac{21}{2} \cdot \frac{7}{7}\right) + \frac{11}{14}$

This is equivalent to

$\frac{48}{14} - \frac{147}{14} + \frac{11}{14}$

Now simply add and subtract their numerators to get the final fraction

$\frac{48 - 147 + 11}{14} = - \frac{88}{14} = \textcolor{g r e e n}{- \frac{44}{7}}$