Combine 7/12-1/30 - Math help

$\frac{7}{12} - \frac{1}{30}$

To write $\frac{7}{12}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{7}{12} \cdot \frac{5}{5} - \frac{1}{30}$

To write $- \frac{1}{30}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{7}{12} \cdot \frac{5}{5} - \frac{1}{30} \cdot \frac{2}{2}$

Write each expression with a common denominator of $60$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{7}{12}$ and $\frac{5}{5}$ .

$\frac{7 \cdot 5}{12 \cdot 5} - \frac{1}{30} \cdot \frac{2}{2}$

Multiply $12$ by $5$ .

$\frac{7 \cdot 5}{60} - \frac{1}{30} \cdot \frac{2}{2}$

Multiply $\frac{1}{30}$ and $\frac{2}{2}$ .

$\frac{7 \cdot 5}{60} - \frac{2}{30 \cdot 2}$

Multiply $30$ by $2$ .

$\frac{7 \cdot 5}{60} - \frac{2}{60}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 5 - 2}{60}$

Simplify the numerator.

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Multiply $7$ by $5$ .

$\frac{35 - 2}{60}$

Subtract $2$ from $35$ .

$\frac{33}{60}$

Cancel the common factor of $33$ and $60$ .

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Factor $3$ out of $33$ .

$\frac{3 (11)}{60}$

Cancel the common factors.

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Factor $3$ out of $60$ .

$\frac{3 \cdot 11}{3 \cdot 20}$

Cancel the common factor.

$\frac{3 \cdot 11}{3 \cdot 20}$

Rewrite the expression.

$\frac{11}{20}$

Combine 7/12-1/30

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