Evaluate -5/4+75/40+100%

$- \frac{5}{4} + \frac{75}{40} + 100 %$

Simplify each term.

Cancel the common factor of $75$ and $40$ .

Factor $5$ out of $75$ .

$- \frac{5}{4} + \frac{5 (15)}{40} + 100 %$

Cancel the common factors.

Factor $5$ out of $40$ .

$- \frac{5}{4} + \frac{5 \cdot 15}{5 \cdot 8} + 100 %$

Cancel the common factor.

$- \frac{5}{4} + \frac{5 \cdot 15}{5 \cdot 8} + 100 %$

Rewrite the expression.

$- \frac{5}{4} + \frac{15}{8} + 100 %$

Convert $100 %$ to a decimal.

$- \frac{5}{4} + \frac{15}{8} + 1$

Find the common denominator.

Multiply $\frac{5}{4}$ by $\frac{2}{2}$ .

$- (\frac{5}{4} \cdot \frac{2}{2}) + \frac{15}{8} + 1$

Multiply $\frac{5}{4}$ by $\frac{2}{2}$ .

$- \frac{5 \cdot 2}{4 \cdot 2} + \frac{15}{8} + 1$

Write $1$ as a fraction with denominator $1$ .

$- \frac{5 \cdot 2}{4 \cdot 2} + \frac{15}{8} + \frac{1}{1}$

Multiply $\frac{1}{1}$ by $\frac{8}{8}$ .

$- \frac{5 \cdot 2}{4 \cdot 2} + \frac{15}{8} + \frac{1}{1} \cdot \frac{8}{8}$

Multiply $\frac{1}{1}$ by $\frac{8}{8}$ .

$- \frac{5 \cdot 2}{4 \cdot 2} + \frac{15}{8} + \frac{8}{8}$

Reorder the factors of $4 \cdot 2$ .

$- \frac{5 \cdot 2}{2 \cdot 4} + \frac{15}{8} + \frac{8}{8}$

Multiply $2$ by $4$ .

$- \frac{5 \cdot 2}{8} + \frac{15}{8} + \frac{8}{8}$

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 2 + 15 + 8}{8}$

Simplify the expression.

Multiply $- 5$ by $2$ .

$\frac{- 10 + 15 + 8}{8}$

Add $- 10$ and $15$ .

$\frac{5 + 8}{8}$

Add $5$ and $8$ .

$\frac{13}{8}$

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{8}$

Decimal Form:

$1.625$

Mixed Number Form:

$1 \frac{5}{8}$