Evaluate 1 5/8-3/4

$1 \frac{5}{8} - \frac{3}{4}$

Step 1

Convert $1 \frac{5}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$1 + \frac{5}{8} - \frac{3}{4}$

Add $1$ and $\frac{5}{8}$ .

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

$\frac{8}{8} + \frac{5}{8} - \frac{3}{4}$

Combine the numerators over the common denominator.

$\frac{8 + 5}{8} - \frac{3}{4}$

Add $8$ and $5$ .

$\frac{13}{8} - \frac{3}{4}$

Step 2

To write $- \frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{13}{8} - \frac{3}{4} \cdot \frac{2}{2}$

Step 3

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

Multiply $\frac{3}{4}$ by $\frac{2}{2}$ .

$\frac{13}{8} - \frac{3 \cdot 2}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{13}{8} - \frac{3 \cdot 2}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{13 - 3 \cdot 2}{8}$

Step 5

Simplify the numerator.

Multiply $- 3$ by $2$ .

$\frac{13 - 6}{8}$

Subtract $6$ from $13$ .

$\frac{7}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{8}$

Decimal Form:

$0.875$