Basic Math Examples

$\frac{9}{4} + \frac{1}{16} + \frac{1}{2}$

Step 1

To write $\frac{9}{4}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{9}{4} \cdot \frac{4}{4} + \frac{1}{16} + \frac{1}{2}$

Step 2

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{9}{4}$ by $\frac{4}{4}$ .

$\frac{9 \cdot 4}{4 \cdot 4} + \frac{1}{16} + \frac{1}{2}$

Step 2.2

Multiply $4$ by $4$ .

$\frac{9 \cdot 4}{16} + \frac{1}{16} + \frac{1}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{9 \cdot 4 + 1}{16} + \frac{1}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $9$ by $4$ .

$\frac{36 + 1}{16} + \frac{1}{2}$

Step 4.2

Add $36$ and $1$ .

$\frac{37}{16} + \frac{1}{2}$

Step 5

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{37}{16} + \frac{1}{2} \cdot \frac{8}{8}$

Step 6

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 6.1

Multiply $\frac{1}{2}$ by $\frac{8}{8}$ .

$\frac{37}{16} + \frac{8}{2 \cdot 8}$

Step 6.2

Multiply $2$ by $8$ .

$\frac{37}{16} + \frac{8}{16}$

Step 7

Combine the numerators over the common denominator.

$\frac{37 + 8}{16}$

Step 8

Add $37$ and $8$ .

$\frac{45}{16}$