Basic Math Examples

$(\frac{1}{3} + \frac{11}{12} + \frac{19}{24}) \div 3$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{1}{3} + \frac{11}{12} + \frac{19}{24}}{3}$

Step 2

Simplify the numerator.

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Step 2.1

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{\frac{1}{3} \cdot \frac{4}{4} + \frac{11}{12} + \frac{19}{24}}{3}$

Step 2.2

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.2.1

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{\frac{4}{3 \cdot 4} + \frac{11}{12} + \frac{19}{24}}{3}$

Step 2.2.2

Multiply $3$ by $4$ .

$\frac{\frac{4}{12} + \frac{11}{12} + \frac{19}{24}}{3}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{\frac{4 + 11}{12} + \frac{19}{24}}{3}$

Step 2.4

Add $4$ and $11$ .

$\frac{\frac{15}{12} + \frac{19}{24}}{3}$

Step 2.5

To write $\frac{15}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{15}{12} \cdot \frac{2}{2} + \frac{19}{24}}{3}$

Step 2.6

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

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Step 2.6.1

Multiply $\frac{15}{12}$ by $\frac{2}{2}$ .

$\frac{\frac{15 \cdot 2}{12 \cdot 2} + \frac{19}{24}}{3}$

Step 2.6.2

Multiply $12$ by $2$ .

$\frac{\frac{15 \cdot 2}{24} + \frac{19}{24}}{3}$

Step 2.7

Combine the numerators over the common denominator.

$\frac{\frac{15 \cdot 2 + 19}{24}}{3}$

Step 2.8

Simplify the numerator.

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Step 2.8.1

Multiply $15$ by $2$ .

$\frac{\frac{30 + 19}{24}}{3}$

Step 2.8.2

Add $30$ and $19$ .

$\frac{\frac{49}{24}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{49}{24} \cdot \frac{1}{3}$

Step 4

Multiply $\frac{49}{24} \cdot \frac{1}{3}$ .

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Step 4.1

Multiply $\frac{49}{24}$ by $\frac{1}{3}$ .

$\frac{49}{24 \cdot 3}$

Step 4.2

Multiply $24$ by $3$ .

$\frac{49}{72}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{49}{72}$

Decimal Form:

$0.680\overline{5}$