Basic Math Examples

$3 + 25 \div 5 + 3 \cdot 7$

Step 1

Find the common denominator.

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Step 1.1

Write $3$ as a fraction with denominator $1$ .

$\frac{3}{1} + 25 \div 5 + 3 \cdot 7$

Step 1.2

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

$\frac{3}{1} \cdot \frac{5}{5} + 25 \div 5 + 3 \cdot 7$

Step 1.3

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

$\frac{3 \cdot 5}{5} + 25 \div 5 + 3 \cdot 7$

Step 1.4

Write $3 \cdot 7$ as a fraction with denominator $1$ .

$\frac{3 \cdot 5}{5} + 25 \div 5 + \frac{3 \cdot 7}{1}$

Step 1.5

Multiply $\frac{3 \cdot 7}{1}$ by $\frac{5}{5}$ .

$\frac{3 \cdot 5}{5} + 25 \div 5 + \frac{3 \cdot 7}{1} \cdot \frac{5}{5}$

Step 1.6

Multiply $\frac{3 \cdot 7}{1}$ by $\frac{5}{5}$ .

$\frac{3 \cdot 5}{5} + 25 \div 5 + \frac{3 \cdot 7 \cdot 5}{5}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 + 25 + 3 \cdot 7 \cdot 5}{5}$

Step 3

Simplify each term.

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Step 3.1

Multiply $3$ by $5$ .

$\frac{15 + 25 + 3 \cdot 7 \cdot 5}{5}$

Step 3.2

Multiply $3 \cdot 7 \cdot 5$ .

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Step 3.2.1

Multiply $3$ by $7$ .

$\frac{15 + 25 + 21 \cdot 5}{5}$

Step 3.2.2

Multiply $21$ by $5$ .

$\frac{15 + 25 + 105}{5}$

Step 4

Simplify the expression.

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Step 4.1

Add $15$ and $25$ .

$\frac{40 + 105}{5}$

Step 4.2

Add $40$ and $105$ .

$\frac{145}{5}$

Step 4.3

Divide $145$ by $5$ .

$29$