Basic Math Examples

\frac{1}{32} + \frac{3}{4}

$\frac{1}{32} + \frac{3}{4}$

Step 1

To write

\frac{3}{4}

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{1}{32} + \frac{3}{4} \cdot \frac{8}{8}

$\frac{1}{32} + \frac{3}{4} \cdot \frac{8}{8}$

Step 2

Write each expression with a common denominator of

32

$32$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{1}{32} + \frac{3 \cdot 8}{4 \cdot 8}

$\frac{1}{32} + \frac{3 \cdot 8}{4 \cdot 8}$

Step 2.2

Multiply

4

$4$ by

8

$8$ .

\frac{1}{32} + \frac{3 \cdot 8}{32}

$\frac{1}{32} + \frac{3 \cdot 8}{32}$

\frac{1}{32} + \frac{3 \cdot 8}{32}

$\frac{1}{32} + \frac{3 \cdot 8}{32}$

Step 3

Combine the numerators over the common denominator.

\frac{1 + 3 \cdot 8}{32}

$\frac{1 + 3 \cdot 8}{32}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

3

$3$ by

8

$8$ .

\frac{1 + 24}{32}

$\frac{1 + 24}{32}$

Step 4.2

Add

1

$1$ and

24

$24$ .

\frac{25}{32}

$\frac{25}{32}$

\frac{25}{32}

$\frac{25}{32}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{25}{32}

$\frac{25}{32}$

Decimal Form:

0.78125

$0.78125$