Basic Math Examples

$\frac{3}{8} + \frac{5}{12} + \frac{1}{15}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{3}{8}$ by $\frac{15}{15}$ .

$\frac{3}{8} \cdot \frac{15}{15} + \frac{5}{12} + \frac{1}{15}$

Step 1.2

Multiply $\frac{3}{8}$ by $\frac{15}{15}$ .

$\frac{3 \cdot 15}{8 \cdot 15} + \frac{5}{12} + \frac{1}{15}$

Step 1.3

Multiply $\frac{5}{12}$ by $\frac{10}{10}$ .

$\frac{3 \cdot 15}{8 \cdot 15} + \frac{5}{12} \cdot \frac{10}{10} + \frac{1}{15}$

Step 1.4

Multiply $\frac{5}{12}$ by $\frac{10}{10}$ .

$\frac{3 \cdot 15}{8 \cdot 15} + \frac{5 \cdot 10}{12 \cdot 10} + \frac{1}{15}$

Step 1.5

Multiply $\frac{1}{15}$ by $\frac{8}{8}$ .

$\frac{3 \cdot 15}{8 \cdot 15} + \frac{5 \cdot 10}{12 \cdot 10} + \frac{1}{15} \cdot \frac{8}{8}$

Step 1.6

Multiply $\frac{1}{15}$ by $\frac{8}{8}$ .

$\frac{3 \cdot 15}{8 \cdot 15} + \frac{5 \cdot 10}{12 \cdot 10} + \frac{8}{15 \cdot 8}$

Step 1.7

Multiply $8$ by $15$ .

$\frac{3 \cdot 15}{120} + \frac{5 \cdot 10}{12 \cdot 10} + \frac{8}{15 \cdot 8}$

Step 1.8

Reorder the factors of $12 \cdot 10$ .

$\frac{3 \cdot 15}{120} + \frac{5 \cdot 10}{10 \cdot 12} + \frac{8}{15 \cdot 8}$

Step 1.9

Multiply $10$ by $12$ .

$\frac{3 \cdot 15}{120} + \frac{5 \cdot 10}{120} + \frac{8}{15 \cdot 8}$

Step 1.10

Reorder the factors of $15 \cdot 8$ .

$\frac{3 \cdot 15}{120} + \frac{5 \cdot 10}{120} + \frac{8}{8 \cdot 15}$

Step 1.11

Multiply $8$ by $15$ .

$\frac{3 \cdot 15}{120} + \frac{5 \cdot 10}{120} + \frac{8}{120}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 \cdot 15 + 5 \cdot 10 + 8}{120}$

Step 3

Simplify each term.

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Step 3.1

Multiply $3$ by $15$ .

$\frac{45 + 5 \cdot 10 + 8}{120}$

Step 3.2

Multiply $5$ by $10$ .

$\frac{45 + 50 + 8}{120}$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $45$ and $50$ .

$\frac{95 + 8}{120}$

Step 4.2

Add $95$ and $8$ .

$\frac{103}{120}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{103}{120}$

Decimal Form:

$0.858\overline{3}$