Basic Math Examples

$(4 + 9 + \frac{16}{4}) - 8 - 3 \cdot 5$

Step 1

Find the common denominator.

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Step 1.1

Write $4$ as a fraction with denominator $1$ .

$\frac{4}{1} + 9 + \frac{16}{4} - 8 - 3 \cdot 5$

Step 1.2

Multiply $\frac{4}{1}$ by $\frac{4}{4}$ .

$\frac{4}{1} \cdot \frac{4}{4} + 9 + \frac{16}{4} - 8 - 3 \cdot 5$

Step 1.3

Multiply $\frac{4}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + 9 + \frac{16}{4} - 8 - 3 \cdot 5$

Step 1.4

Write $9$ as a fraction with denominator $1$ .

$\frac{4 \cdot 4}{4} + \frac{9}{1} + \frac{16}{4} - 8 - 3 \cdot 5$

Step 1.5

Multiply $\frac{9}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{9}{1} \cdot \frac{4}{4} + \frac{16}{4} - 8 - 3 \cdot 5$

Step 1.6

Multiply $\frac{9}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} - 8 - 3 \cdot 5$

Step 1.7

Write $- 8$ as a fraction with denominator $1$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} + \frac{- 8}{1} - 3 \cdot 5$

Step 1.8

Multiply $\frac{- 8}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} + \frac{- 8}{1} \cdot \frac{4}{4} - 3 \cdot 5$

Step 1.9

Multiply $\frac{- 8}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} + \frac{- 8 \cdot 4}{4} - 3 \cdot 5$

Step 1.10

Write $- 3 \cdot 5$ as a fraction with denominator $1$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} + \frac{- 8 \cdot 4}{4} + \frac{- 3 \cdot 5}{1}$

Step 1.11

Multiply $\frac{- 3 \cdot 5}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} + \frac{- 8 \cdot 4}{4} + \frac{- 3 \cdot 5}{1} \cdot \frac{4}{4}$

Step 1.12

Multiply $\frac{- 3 \cdot 5}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} + \frac{9 \cdot 4}{4} + \frac{16}{4} + \frac{- 8 \cdot 4}{4} + \frac{- 3 \cdot 5 \cdot 4}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 + 9 \cdot 4 + 16 - 8 \cdot 4 - 3 \cdot 5 \cdot 4}{4}$

Step 3

Simplify each term.

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Step 3.1

Multiply $4$ by $4$ .

$\frac{16 + 9 \cdot 4 + 16 - 8 \cdot 4 - 3 \cdot 5 \cdot 4}{4}$

Step 3.2

Multiply $9$ by $4$ .

$\frac{16 + 36 + 16 - 8 \cdot 4 - 3 \cdot 5 \cdot 4}{4}$

Step 3.3

Multiply $- 8$ by $4$ .

$\frac{16 + 36 + 16 - 32 - 3 \cdot 5 \cdot 4}{4}$

Step 3.4

Multiply $- 3 \cdot 5 \cdot 4$ .

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Step 3.4.1

Multiply $- 3$ by $5$ .

$\frac{16 + 36 + 16 - 32 - 15 \cdot 4}{4}$

Step 3.4.2

Multiply $- 15$ by $4$ .

$\frac{16 + 36 + 16 - 32 - 60}{4}$

Step 4

Simplify the expression.

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Step 4.1

Add $16$ and $36$ .

$\frac{52 + 16 - 32 - 60}{4}$

Step 4.2

Add $52$ and $16$ .

$\frac{68 - 32 - 60}{4}$

Step 4.3

Subtract $32$ from $68$ .

$\frac{36 - 60}{4}$

Step 4.4

Subtract $60$ from $36$ .

$\frac{- 24}{4}$

Step 4.5

Divide $- 24$ by $4$ .

$- 6$