Evaluate 2/2+7+4+4+2

$\frac{2}{2} + 7 + 4 + 4 + 2$

Step 1

Find the common denominator.

Write $7$ as a fraction with denominator $1$ .

$\frac{2}{2} + \frac{7}{1} + 4 + 4 + 2$

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

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

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

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

Write $4$ as a fraction with denominator $1$ .

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

Multiply $\frac{4}{1}$ by $\frac{2}{2}$ .

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

Multiply $\frac{4}{1}$ by $\frac{2}{2}$ .

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

Write $4$ as a fraction with denominator $1$ .

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

Multiply $\frac{4}{1}$ by $\frac{2}{2}$ .

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

Multiply $\frac{4}{1}$ by $\frac{2}{2}$ .

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

Write $2$ as a fraction with denominator $1$ .

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

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

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

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

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

Multiply $7$ by $2$ .

$\frac{2 + 14 + 4 \cdot 2 + 4 \cdot 2 + 2 \cdot 2}{2}$

Multiply $4$ by $2$ .

$\frac{2 + 14 + 8 + 4 \cdot 2 + 2 \cdot 2}{2}$

Multiply $4$ by $2$ .

$\frac{2 + 14 + 8 + 8 + 2 \cdot 2}{2}$

Multiply $2$ by $2$ .

$\frac{2 + 14 + 8 + 8 + 4}{2}$

Step 4

Simplify the expression.

Add $2$ and $14$ .

$\frac{16 + 8 + 8 + 4}{2}$

Add $16$ and $8$ .

$\frac{24 + 8 + 4}{2}$

Add $24$ and $8$ .

$\frac{32 + 4}{2}$

Add $32$ and $4$ .

$\frac{36}{2}$

Divide $36$ by $2$ .

$18$

Evaluate 2/2+7+4+4+2

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