Basic Math Examples

$3 \frac{1}{2} \cdot 20$

Step 1

Convert

$3 \frac{1}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(3 + \frac{1}{2}) \cdot 20$

Step 1.2

Add

$3$ and

$\frac{1}{2}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$(3 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 20$

Step 1.2.2

Combine

$3$ and

$\frac{2}{2}$ .

$(\frac{3 \cdot 2}{2} + \frac{1}{2}) \cdot 20$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 1}{2} \cdot 20$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$2$ .

$\frac{6 + 1}{2} \cdot 20$

Step 1.2.4.2

Add

$6$ and

$1$ .

$\frac{7}{2} \cdot 20$

Step 2

Cancel the common factor of

$2$ .

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Step 2.1

Factor

$2$ out of

$20$ .

$\frac{7}{2} \cdot (2 (10))$

Step 2.2

Cancel the common factor.

$\frac{7}{2} \cdot (2 \cdot 10)$

Step 2.3

Rewrite the expression.

$7 \cdot 10$

Step 3

Multiply

$7$ by

$10$ .

$70$