Basic Math Examples

$\frac{7}{18} + \frac{5}{24} + \frac{1}{8}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{7}{18}$ by $\frac{4}{4}$ .

$\frac{7}{18} \cdot \frac{4}{4} + \frac{5}{24} + \frac{1}{8}$

Step 1.2

Multiply $\frac{7}{18}$ by $\frac{4}{4}$ .

$\frac{7 \cdot 4}{18 \cdot 4} + \frac{5}{24} + \frac{1}{8}$

Step 1.3

Multiply $\frac{5}{24}$ by $\frac{3}{3}$ .

$\frac{7 \cdot 4}{18 \cdot 4} + \frac{5}{24} \cdot \frac{3}{3} + \frac{1}{8}$

Step 1.4

Multiply $\frac{5}{24}$ by $\frac{3}{3}$ .

$\frac{7 \cdot 4}{18 \cdot 4} + \frac{5 \cdot 3}{24 \cdot 3} + \frac{1}{8}$

Step 1.5

Multiply $\frac{1}{8}$ by $\frac{9}{9}$ .

$\frac{7 \cdot 4}{18 \cdot 4} + \frac{5 \cdot 3}{24 \cdot 3} + \frac{1}{8} \cdot \frac{9}{9}$

Step 1.6

Multiply $\frac{1}{8}$ by $\frac{9}{9}$ .

$\frac{7 \cdot 4}{18 \cdot 4} + \frac{5 \cdot 3}{24 \cdot 3} + \frac{9}{8 \cdot 9}$

Step 1.7

Reorder the factors of $18 \cdot 4$ .

$\frac{7 \cdot 4}{4 \cdot 18} + \frac{5 \cdot 3}{24 \cdot 3} + \frac{9}{8 \cdot 9}$

Step 1.8

Multiply $4$ by $18$ .

$\frac{7 \cdot 4}{72} + \frac{5 \cdot 3}{24 \cdot 3} + \frac{9}{8 \cdot 9}$

Step 1.9

Reorder the factors of $24 \cdot 3$ .

$\frac{7 \cdot 4}{72} + \frac{5 \cdot 3}{3 \cdot 24} + \frac{9}{8 \cdot 9}$

Step 1.10

Multiply $3$ by $24$ .

$\frac{7 \cdot 4}{72} + \frac{5 \cdot 3}{72} + \frac{9}{8 \cdot 9}$

Step 1.11

Multiply $8$ by $9$ .

$\frac{7 \cdot 4}{72} + \frac{5 \cdot 3}{72} + \frac{9}{72}$

Step 2

Combine the numerators over the common denominator.

$\frac{7 \cdot 4 + 5 \cdot 3 + 9}{72}$

Step 3

Simplify each term.

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Step 3.1

Multiply $7$ by $4$ .

$\frac{28 + 5 \cdot 3 + 9}{72}$

Step 3.2

Multiply $5$ by $3$ .

$\frac{28 + 15 + 9}{72}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Add $28$ and $15$ .

$\frac{43 + 9}{72}$

Step 4.2

Add $43$ and $9$ .

$\frac{52}{72}$

Step 4.3

Cancel the common factor of $52$ and $72$ .

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Step 4.3.1

Factor $4$ out of $52$ .

$\frac{4 (13)}{72}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $4$ out of $72$ .

$\frac{4 \cdot 13}{4 \cdot 18}$

Step 4.3.2.2

Cancel the common factor.

$\frac{4 \cdot 13}{4 \cdot 18}$

Step 4.3.2.3

Rewrite the expression.

$\frac{13}{18}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{18}$

Decimal Form:

$0.7\overline{2}$