Algebra Examples

10 + \frac{12}{6} + 12

$10 + \frac{12}{6} + 12$

Step 1

Find the common denominator.

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Step 1.1

Write

$10$ as a fraction with denominator

$1$ .

$\frac{10}{1} + \frac{12}{6} + 12$

Step 1.2

Multiply

$\frac{10}{1}$ by

$\frac{6}{6}$ .

$\frac{10}{1} \cdot \frac{6}{6} + \frac{12}{6} + 12$

Step 1.3

Multiply

$\frac{10}{1}$ by

$\frac{6}{6}$ .

$\frac{10 \cdot 6}{6} + \frac{12}{6} + 12$

Step 1.4

Write

$12$ as a fraction with denominator

$1$ .

$\frac{10 \cdot 6}{6} + \frac{12}{6} + \frac{12}{1}$

Step 1.5

Multiply

$\frac{12}{1}$ by

$\frac{6}{6}$ .

$\frac{10 \cdot 6}{6} + \frac{12}{6} + \frac{12}{1} \cdot \frac{6}{6}$

Step 1.6

Multiply

$\frac{12}{1}$ by

$\frac{6}{6}$ .

$\frac{10 \cdot 6}{6} + \frac{12}{6} + \frac{12 \cdot 6}{6}$

Step 2

Combine the numerators over the common denominator.

$\frac{10 \cdot 6 + 12 + 12 \cdot 6}{6}$

Step 3

Simplify each term.

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Step 3.1

Multiply

$10$ by

$6$ .

$\frac{60 + 12 + 12 \cdot 6}{6}$

Step 3.2

Multiply

$12$ by

$6$ .

$\frac{60 + 12 + 72}{6}$

Step 4

Simplify the expression.

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Step 4.1

Add

$60$ and

$12$ .

$\frac{72 + 72}{6}$

Step 4.2

Add

$72$ and

$72$ .

$\frac{144}{6}$

Step 4.3

Divide

$144$ by

$6$ .

$24$