Basic Math Examples

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

Step 1

To write $\frac{7}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 2

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

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Step 2.1

Multiply $\frac{7}{8}$ by $\frac{3}{3}$ .

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

Step 2.2

Multiply $8$ by $3$ .

$\frac{7 \cdot 3}{24} + \frac{1}{24}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 + 1}{24}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $7$ by $3$ .

$\frac{21 + 1}{24}$

Step 4.2

Add $21$ and $1$ .

$\frac{22}{24}$

Step 5

Cancel the common factor of $22$ and $24$ .

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Step 5.1

Factor $2$ out of $22$ .

$\frac{2 (11)}{24}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $24$ .

$\frac{2 \cdot 11}{2 \cdot 12}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 11}{2 \cdot 12}$

Step 5.2.3

Rewrite the expression.

$\frac{11}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$