Basic Math Examples

$\frac{5}{6} + \frac{3}{8} - \frac{1}{10}$

Step 1

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5}{6} \cdot \frac{4}{4} + \frac{3}{8} - \frac{1}{10}$

Step 2

To write $\frac{3}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{6} \cdot \frac{4}{4} + \frac{3}{8} \cdot \frac{3}{3} - \frac{1}{10}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{5}{6}$ by $\frac{4}{4}$ .

$\frac{5 \cdot 4}{6 \cdot 4} + \frac{3}{8} \cdot \frac{3}{3} - \frac{1}{10}$

Step 3.2

Multiply $6$ by $4$ .

$\frac{5 \cdot 4}{24} + \frac{3}{8} \cdot \frac{3}{3} - \frac{1}{10}$

Step 3.3

Multiply $\frac{3}{8}$ by $\frac{3}{3}$ .

$\frac{5 \cdot 4}{24} + \frac{3 \cdot 3}{8 \cdot 3} - \frac{1}{10}$

Step 3.4

Multiply $8$ by $3$ .

$\frac{5 \cdot 4}{24} + \frac{3 \cdot 3}{24} - \frac{1}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 4 + 3 \cdot 3}{24} - \frac{1}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $5$ by $4$ .

$\frac{20 + 3 \cdot 3}{24} - \frac{1}{10}$

Step 5.2

Multiply $3$ by $3$ .

$\frac{20 + 9}{24} - \frac{1}{10}$

Step 5.3

Add $20$ and $9$ .

$\frac{29}{24} - \frac{1}{10}$

Step 6

To write $\frac{29}{24}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{29}{24} \cdot \frac{5}{5} - \frac{1}{10}$

Step 7

To write $- \frac{1}{10}$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{29}{24} \cdot \frac{5}{5} - \frac{1}{10} \cdot \frac{12}{12}$

Step 8

Write each expression with a common denominator of $120$ , by multiplying each by an appropriate factor of $1$ .

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Step 8.1

Multiply $\frac{29}{24}$ by $\frac{5}{5}$ .

$\frac{29 \cdot 5}{24 \cdot 5} - \frac{1}{10} \cdot \frac{12}{12}$

Step 8.2

Multiply $24$ by $5$ .

$\frac{29 \cdot 5}{120} - \frac{1}{10} \cdot \frac{12}{12}$

Step 8.3

Multiply $\frac{1}{10}$ by $\frac{12}{12}$ .

$\frac{29 \cdot 5}{120} - \frac{12}{10 \cdot 12}$

Step 8.4

Multiply $10$ by $12$ .

$\frac{29 \cdot 5}{120} - \frac{12}{120}$

Step 9

Combine the numerators over the common denominator.

$\frac{29 \cdot 5 - 12}{120}$

Step 10

Simplify the numerator.

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Step 10.1

Multiply $29$ by $5$ .

$\frac{145 - 12}{120}$

Step 10.2

Subtract $12$ from $145$ .

$\frac{133}{120}$