Simplify 10/15+4/12

$\frac{10}{15} + \frac{4}{12}$

Simplify each term.

Cancel the common factor of $10$ and $15$ .

Factor $5$ out of $10$ .

$\frac{5 (2)}{15} + \frac{4}{12}$

Cancel the common factors.

Factor $5$ out of $15$ .

$\frac{5 \cdot 2}{5 \cdot 3} + \frac{4}{12}$

Cancel the common factor.

$\frac{5 \cdot 2}{5 \cdot 3} + \frac{4}{12}$

Rewrite the expression.

$\frac{2}{3} + \frac{4}{12}$

$\frac{2}{3} + \frac{4}{12}$

$\frac{2}{3} + \frac{4}{12}$

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4$ .

$\frac{2}{3} + \frac{4 (1)}{12}$

Cancel the common factors.

Factor $4$ out of $12$ .

$\frac{2}{3} + \frac{4 \cdot 1}{4 \cdot 3}$

Cancel the common factor.

$\frac{2}{3} + \frac{4 \cdot 1}{4 \cdot 3}$

Rewrite the expression.

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

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

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

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

Combine fractions.

Combine the numerators over the common denominator.

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

Simplify the expression.

Add $2$ and $1$ .

$\frac{3}{3}$

Divide $3$ by $3$ .

$1$

$1$

$1$

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