Basic Math Examples

$25 \div 5 + 5 \cdot 3 - - 3 \div 3$

Step 1

Find the common denominator.

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Step 1.1

Multiply $25 \div 5$ by $\frac{3}{3}$ .

$25 \div 5 \cdot \frac{3}{3} + 5 \cdot 3 - - 3 \div 3$

Step 1.2

Multiply $25 \div 5$ by $\frac{3}{3}$ .

$\frac{25 \cdot 3}{5 \cdot 3} + 5 \cdot 3 - - 3 \div 3$

Step 1.3

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

$\frac{25 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 3}{1} - - 3 \div 3$

Step 1.4

Multiply $\frac{5 \cdot 3}{1}$ by $\frac{15}{15}$ .

$\frac{25 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 3}{1} \cdot \frac{15}{15} - - 3 \div 3$

Step 1.5

Multiply $\frac{5 \cdot 3}{1}$ by $\frac{15}{15}$ .

$\frac{25 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 3 \cdot 15}{15} - - 3 \div 3$

Step 1.6

Multiply $- 3 \div 3$ by $\frac{5}{5}$ .

$\frac{25 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 3 \cdot 15}{15} - (- 3 \div 3 \cdot \frac{5}{5})$

Step 1.7

Multiply $- 3 \div 3$ by $\frac{5}{5}$ .

$\frac{25 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 3 \cdot 15}{15} - \frac{- 3 \cdot 5}{3 \cdot 5}$

Step 1.8

Reorder the factors of $5 \cdot 3$ .

$\frac{25 \cdot 3}{3 \cdot 5} + \frac{5 \cdot 3 \cdot 15}{15} - \frac{- 3 \cdot 5}{3 \cdot 5}$

Step 1.9

Multiply $3$ by $5$ .

$\frac{25 \cdot 3}{15} + \frac{5 \cdot 3 \cdot 15}{15} - \frac{- 3 \cdot 5}{3 \cdot 5}$

Step 1.10

Multiply $3$ by $5$ .

$\frac{25 \cdot 3}{15} + \frac{5 \cdot 3 \cdot 15}{15} - \frac{- 3 \cdot 5}{15}$

Step 2

Combine the numerators over the common denominator.

$\frac{25 \cdot 3 + 5 \cdot 3 \cdot 15 + 3 \cdot 5}{15}$

Step 3

Simplify each term.

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Step 3.1

Multiply $25$ by $3$ .

$\frac{75 + 5 \cdot 3 \cdot 15 + 3 \cdot 5}{15}$

Step 3.2

Multiply $5 \cdot 3 \cdot 15$ .

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Step 3.2.1

Multiply $5$ by $3$ .

$\frac{75 + 15 \cdot 15 + 3 \cdot 5}{15}$

Step 3.2.2

Multiply $15$ by $15$ .

$\frac{75 + 225 + 3 \cdot 5}{15}$

Step 3.3

Multiply $3$ by $5$ .

$\frac{75 + 225 + 15}{15}$

Step 4

Simplify the expression.

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Step 4.1

Add $75$ and $225$ .

$\frac{300 + 15}{15}$

Step 4.2

Add $300$ and $15$ .

$\frac{315}{15}$

Step 4.3

Divide $315$ by $15$ .

$21$