Find the Exact Value 9/8-7/2

$\frac{9}{8} - \frac{7}{2}$

To write $- \frac{7}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{9}{8} - \frac{7}{2} \cdot \frac{4}{4}$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{2}$ by $\frac{4}{4}$ .

$\frac{9}{8} - \frac{7 \cdot 4}{2 \cdot 4}$

Multiply $2$ by $4$ .

$\frac{9}{8} - \frac{7 \cdot 4}{8}$

Combine the numerators over the common denominator.

$\frac{9 - 7 \cdot 4}{8}$

Simplify the numerator.

Multiply $- 7$ by $4$ .

$\frac{9 - 28}{8}$

Subtract $28$ from $9$ .

$\frac{- 19}{8}$

Move the negative in front of the fraction.

$- \frac{19}{8}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{8}$

Decimal Form:

$- 2.375$

Mixed Number Form:

$- 2 \frac{3}{8}$