Simplify 7/9+5/6*1/3

$\frac{7}{9} + \frac{5}{6} \cdot \frac{1}{3}$

Step 1

Multiply

$\frac{5}{6} \cdot \frac{1}{3}$ .

Multiply

$\frac{5}{6}$ by

$\frac{1}{3}$ .

$\frac{7}{9} + \frac{5}{6 \cdot 3}$

Multiply

$6$ by

$3$ .

$\frac{7}{9} + \frac{5}{18}$

Step 2

To write

$\frac{7}{9}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{7}{9} \cdot \frac{2}{2} + \frac{5}{18}$

Step 3

Write each expression with a common denominator of

$18$ , by multiplying each by an appropriate factor of

$1$ .

Multiply

$\frac{7}{9}$ by

$\frac{2}{2}$ .

$\frac{7 \cdot 2}{9 \cdot 2} + \frac{5}{18}$

Multiply

$9$ by

$2$ .

$\frac{7 \cdot 2}{18} + \frac{5}{18}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 + 5}{18}$

Step 5

Simplify the numerator.

Multiply

$7$ by

$2$ .

$\frac{14 + 5}{18}$

Add

$14$ and

$5$ .

$\frac{19}{18}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{18}$

Decimal Form:

$1.0\overline{5}$

Mixed Number Form:

$1 \frac{1}{18}$

Simplify 7/9+5/6*1/3

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