# How do you simplify 3 3/4+2 5/7?

Dec 13, 2016

$\frac{181}{28}$ or $6 \frac{13}{28}$

#### Explanation:

Step 1) Convert each Mixed fraction to an improper fraction. Multiply the integer by the appropriate form of $1$ and add this to the fraction:

(4/4*3 + 3/4) + ((7/7*2 + 5/7)

$\left(\frac{12}{4} + \frac{3}{4}\right) + \left(\frac{14}{7} + \frac{5}{7}\right)$

$\left(\frac{12 + 3}{4}\right) + \left(\frac{14 + 5}{7}\right)$

$\frac{15}{4} + \frac{19}{7}$

Step 2) Get each fraction over a common denominator, in this case ($4 \times 7 \mathmr{and} 28$) by again multiplying the fraction by the appropriate form of $1$:

$\left(\frac{7}{7} \times \frac{15}{4}\right) + \left(\frac{4}{4} \times \frac{19}{7}\right)$

$\frac{105}{28} + \frac{76}{28}$

$\frac{105 + 76}{28}$

$\frac{181}{28}$

Or

$\frac{168}{28} + \frac{13}{28}$

$6 + \frac{13}{28}$

$6 \frac{13}{28}$