Write the Fraction in Simplest Form -9/14+2/7

$- \frac{9}{14} + \frac{2}{7}$

Step 1

To write $\frac{2}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{9}{14} + \frac{2}{7} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{7}$ by $\frac{2}{2}$ .

$- \frac{9}{14} + \frac{2 \cdot 2}{7 \cdot 2}$

Multiply $7$ by $2$ .

$- \frac{9}{14} + \frac{2 \cdot 2}{14}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 9 + 2 \cdot 2}{14}$

Step 4

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{- 9 + 4}{14}$

Add $- 9$ and $4$ .

$\frac{- 5}{14}$

Step 5

Move the negative in front of the fraction.

$- \frac{5}{14}$