Basic Math Examples

$\frac{12}{15} + 0.5$

Step 1

Cancel the common factor of $12$ and $15$ .

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Step 1.1

Factor $3$ out of $12$ .

$\frac{3 (4)}{15} + 0.5$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $15$ .

$\frac{3 \cdot 4}{3 \cdot 5} + 0.5$

Step 1.2.2

Cancel the common factor.

$\frac{3 \cdot 4}{3 \cdot 5} + 0.5$

Step 1.2.3

Rewrite the expression.

$\frac{4}{5} + 0.5$

Step 2

To write $0.5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{4}{5} + 0.5 \cdot \frac{5}{5}$

Step 3

Combine fractions.

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Step 3.1

Combine $0.5$ and $\frac{5}{5}$ .

$\frac{4}{5} + \frac{0.5 \cdot 5}{5}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{4 + 0.5 \cdot 5}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $0.5$ by $5$ .

$\frac{4 + 2.5}{5}$

Step 4.2

Add $4$ and $2.5$ .

$\frac{6.5}{5}$

Step 5

Divide $6.5$ by $5$ .

$1.3$