Evaluate 14/9+7/12*4/21

$\frac{14}{9} + \frac{7}{12} \cdot \frac{4}{21}$

Step 1

Simplify each term.

Cancel the common factor of $7$ .

Factor $7$ out of $21$ .

$\frac{14}{9} + \frac{7}{12} \cdot \frac{4}{7 (3)}$

Cancel the common factor.

$\frac{14}{9} + \frac{7}{12} \cdot \frac{4}{7 \cdot 3}$

Rewrite the expression.

$\frac{14}{9} + \frac{1}{12} \cdot \frac{4}{3}$

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$\frac{14}{9} + \frac{1}{4 (3)} \cdot \frac{4}{3}$

Cancel the common factor.

$\frac{14}{9} + \frac{1}{4 \cdot 3} \cdot \frac{4}{3}$

Rewrite the expression.

$\frac{14}{9} + \frac{1}{3} \cdot \frac{1}{3}$

Multiply $\frac{1}{3}$ by $\frac{1}{3}$ .

$\frac{14}{9} + \frac{1}{3 \cdot 3}$

Multiply $3$ by $3$ .

$\frac{14}{9} + \frac{1}{9}$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$\frac{14 + 1}{9}$

Add $14$ and $1$ .

$\frac{15}{9}$

Cancel the common factor of $15$ and $9$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$\frac{3 \cdot 5}{3 \cdot 3}$

Cancel the common factor.

$\frac{3 \cdot 5}{3 \cdot 3}$

Rewrite the expression.

$\frac{5}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$