Basic Math Examples

$\frac{4}{6} + \frac{3}{8}$

Step 1

Cancel the common factor of

$4$ and

$6$ .

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Step 1.1

Factor

$2$ out of

$4$ .

$\frac{2 (2)}{6} + \frac{3}{8}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$6$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$\frac{2}{3} + \frac{3}{8}$

Step 2

To write

$\frac{2}{3}$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

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

Step 3

To write

$\frac{3}{8}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

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

Step 4

Write each expression with a common denominator of

$24$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{2}{3}$ by

$\frac{8}{8}$ .

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

Step 4.2

Multiply

$3$ by

$8$ .

$\frac{2 \cdot 8}{24} + \frac{3}{8} \cdot \frac{3}{3}$

Step 4.3

Multiply

$\frac{3}{8}$ by

$\frac{3}{3}$ .

$\frac{2 \cdot 8}{24} + \frac{3 \cdot 3}{8 \cdot 3}$

Step 4.4

Multiply

$8$ by

$3$ .

$\frac{2 \cdot 8}{24} + \frac{3 \cdot 3}{24}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 \cdot 8 + 3 \cdot 3}{24}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$2$ by

$8$ .

$\frac{16 + 3 \cdot 3}{24}$

Step 6.2

Multiply

$3$ by

$3$ .

$\frac{16 + 9}{24}$

Step 6.3

Add

$16$ and

$9$ .

$\frac{25}{24}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{24}$

Decimal Form:

$1.041\overline{6}$

Mixed Number Form:

$1 \frac{1}{24}$