# How do you simplify 25 1/3-17 5/6?

Dec 13, 2016

$\frac{15}{2}$ or $7 \frac{1}{2}$

#### Explanation:

First we need to convert each Mixed Fraction to an improper fraction by multiplying each integer by the appropriate form of $1$ and the adding it to the fraction:

$\left(\left(\frac{3}{3} \times 25\right) + \frac{1}{3}\right) - \left(\left(\frac{6}{6} \cdot \times 17\right) + \frac{5}{6}\right)$

$\left(\frac{75}{3} + \frac{1}{3}\right) - \left(\frac{102}{6} + \frac{5}{6}\right)$

$\frac{76}{3} - \frac{107}{6}$

Next, in order to subtract the two fractions we must get them over a common denominator, in this case $6$ by multiplying the fraction by the appropriate form of $1$:

$\left(\frac{2}{2} \times \frac{76}{3}\right) - \frac{107}{6}$

$\frac{152}{6} - \frac{107}{6}$

$\frac{152 - 107}{6}$

$\frac{45}{6}$

$\frac{3}{3} \times \frac{15}{2}$

$1 \times \frac{15}{2}$

$\frac{15}{2}$

Or

$\frac{14 + 1}{2}$

$\frac{14}{2} + \frac{1}{2}$

$7 + \frac{1}{2}$

$7 \frac{1}{2}$