Combine 5/6-3/5 - MathMaster

$\frac{5}{6} - \frac{3}{5}$

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{5}{6} \cdot \frac{5}{5} - \frac{3}{5}$

To write $- \frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{5}{6} \cdot \frac{5}{5} - \frac{3}{5} \cdot \frac{6}{6}$

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{5}{6}$ and $\frac{5}{5}$ .

$\frac{5 \cdot 5}{6 \cdot 5} - \frac{3}{5} \cdot \frac{6}{6}$

Multiply $6$ by $5$ .

$\frac{5 \cdot 5}{30} - \frac{3}{5} \cdot \frac{6}{6}$

Multiply $\frac{3}{5}$ and $\frac{6}{6}$ .

$\frac{5 \cdot 5}{30} - \frac{3 \cdot 6}{5 \cdot 6}$

Multiply $5$ by $6$ .

$\frac{5 \cdot 5}{30} - \frac{3 \cdot 6}{30}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 - 3 \cdot 6}{30}$

Simplify the numerator.

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Multiply $5$ by $5$ .

$\frac{25 - 3 \cdot 6}{30}$

Multiply $- 3$ by $6$ .

$\frac{25 - 18}{30}$

Subtract $18$ from $25$ .

$\frac{7}{30}$

Combine 5/6-3/5

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