# How do you simplify 6/10 + 3 3/2 - 5 1/4?

Jul 28, 2016

$- \frac{3}{20}$

#### Explanation:

To add and subtract fractions the denominators must be the same. The lowest common denominator for $10 , 2 , \mathmr{and} 4$ is $20$, so we must multiply each fraction by $1$ in a form that will make each denominator $20$. It is also helpful to make the mixed fractions into improper fractions:

$\frac{6}{10} \left(\frac{2}{2}\right) + \frac{9}{2} \left(\frac{10}{10}\right) - \frac{21}{4} \left(\frac{5}{5}\right)$

$= \frac{12}{20} + \frac{90}{20} - \frac{105}{20}$

$= \frac{102}{20} - \frac{105}{20}$

$= - \frac{3}{20}$