Basic Math Examples

$\frac{16}{4} + (5 \cdot 6 - (3 + (4 + 1)))$

Step 1

Remove parentheses.

$\frac{16}{4} + 5 \cdot 6 - (3 + 4 + 1)$

Step 2

Find the common denominator.

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Step 2.1

Write $5 \cdot 6$ as a fraction with denominator $1$ .

$\frac{16}{4} + \frac{5 \cdot 6}{1} - (3 + 4 + 1)$

Step 2.2

Multiply $\frac{5 \cdot 6}{1}$ by $\frac{4}{4}$ .

$\frac{16}{4} + \frac{5 \cdot 6}{1} \cdot \frac{4}{4} - (3 + 4 + 1)$

Step 2.3

Multiply $\frac{5 \cdot 6}{1}$ by $\frac{4}{4}$ .

$\frac{16}{4} + \frac{5 \cdot 6 \cdot 4}{4} - (3 + 4 + 1)$

Step 2.4

Write $- (3 + 4 + 1)$ as a fraction with denominator $1$ .

$\frac{16}{4} + \frac{5 \cdot 6 \cdot 4}{4} + \frac{- (3 + 4 + 1)}{1}$

Step 2.5

Multiply $\frac{- (3 + 4 + 1)}{1}$ by $\frac{4}{4}$ .

$\frac{16}{4} + \frac{5 \cdot 6 \cdot 4}{4} + \frac{- (3 + 4 + 1)}{1} \cdot \frac{4}{4}$

Step 2.6

Multiply $\frac{- (3 + 4 + 1)}{1}$ by $\frac{4}{4}$ .

$\frac{16}{4} + \frac{5 \cdot 6 \cdot 4}{4} + \frac{- (3 + 4 + 1) \cdot 4}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{16 + 5 \cdot 6 \cdot 4 - (3 + 4 + 1) \cdot 4}{4}$

Step 4

Simplify each term.

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Step 4.1

Multiply $5 \cdot 6 \cdot 4$ .

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Step 4.1.1

Multiply $5$ by $6$ .

$\frac{16 + 30 \cdot 4 - (3 + 4 + 1) \cdot 4}{4}$

Step 4.1.2

Multiply $30$ by $4$ .

$\frac{16 + 120 - (3 + 4 + 1) \cdot 4}{4}$

Step 4.2

Add $3$ and $4$ .

$\frac{16 + 120 - (7 + 1) \cdot 4}{4}$

Step 4.3

Add $7$ and $1$ .

$\frac{16 + 120 - 1 \cdot 8 \cdot 4}{4}$

Step 4.4

Multiply $- 1 \cdot 8 \cdot 4$ .

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Step 4.4.1

Multiply $- 1$ by $8$ .

$\frac{16 + 120 - 8 \cdot 4}{4}$

Step 4.4.2

Multiply $- 8$ by $4$ .

$\frac{16 + 120 - 32}{4}$

Step 5

Simplify the expression.

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Step 5.1

Add $16$ and $120$ .

$\frac{136 - 32}{4}$

Step 5.2

Subtract $32$ from $136$ .

$\frac{104}{4}$

Step 5.3

Divide $104$ by $4$ .

$26$