Evaluate 3/4+1/2*7/8

$\frac{3}{4} + \frac{1}{2} \cdot \frac{7}{8}$

Step 1

Multiply $\frac{1}{2} \cdot \frac{7}{8}$ .

Multiply $\frac{1}{2}$ by $\frac{7}{8}$ .

$\frac{3}{4} + \frac{7}{2 \cdot 8}$

Multiply $2$ by $8$ .

$\frac{3}{4} + \frac{7}{16}$

Step 2

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

$\frac{3}{4} \cdot \frac{4}{4} + \frac{7}{16}$

Step 3

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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

$\frac{3 \cdot 4}{4 \cdot 4} + \frac{7}{16}$

Multiply $4$ by $4$ .

$\frac{3 \cdot 4}{16} + \frac{7}{16}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 + 7}{16}$

Step 5

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{12 + 7}{16}$

Add $12$ and $7$ .

$\frac{19}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{16}$

Decimal Form:

$1.1875$

Mixed Number Form:

$1 \frac{3}{16}$