Basic Math Examples

$\frac{7}{64} + \frac{9}{16} + \frac{3}{8}$

Step 1

To write $\frac{9}{16}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{7}{64} + \frac{9}{16} \cdot \frac{4}{4} + \frac{3}{8}$

Step 2

Write each expression with a common denominator of $64$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{9}{16}$ by $\frac{4}{4}$ .

$\frac{7}{64} + \frac{9 \cdot 4}{16 \cdot 4} + \frac{3}{8}$

Step 2.2

Multiply $16$ by $4$ .

$\frac{7}{64} + \frac{9 \cdot 4}{64} + \frac{3}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 + 9 \cdot 4}{64} + \frac{3}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $9$ by $4$ .

$\frac{7 + 36}{64} + \frac{3}{8}$

Step 4.2

Add $7$ and $36$ .

$\frac{43}{64} + \frac{3}{8}$

Step 5

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

$\frac{43}{64} + \frac{3}{8} \cdot \frac{8}{8}$

Step 6

Write each expression with a common denominator of $64$ , by multiplying each by an appropriate factor of $1$ .

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Step 6.1

Multiply $\frac{3}{8}$ by $\frac{8}{8}$ .

$\frac{43}{64} + \frac{3 \cdot 8}{8 \cdot 8}$

Step 6.2

Multiply $8$ by $8$ .

$\frac{43}{64} + \frac{3 \cdot 8}{64}$

Step 7

Combine the numerators over the common denominator.

$\frac{43 + 3 \cdot 8}{64}$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $3$ by $8$ .

$\frac{43 + 24}{64}$

Step 8.2

Add $43$ and $24$ .

$\frac{67}{64}$