Basic Math Examples

$\frac{1}{4} \div 3 \frac{1}{3} \div \frac{13}{10}$

Step 1

Convert $3 \frac{1}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{1}{4} \div (3 + \frac{1}{3}) \div \frac{13}{10}$

Step 1.2

Add $3$ and $\frac{1}{3}$ .

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Step 1.2.1

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

$\frac{1}{4} \div (3 \cdot \frac{3}{3} + \frac{1}{3}) \div \frac{13}{10}$

Step 1.2.2

Combine $3$ and $\frac{3}{3}$ .

$\frac{1}{4} \div (\frac{3 \cdot 3}{3} + \frac{1}{3}) \div \frac{13}{10}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{1}{4} \div \frac{3 \cdot 3 + 1}{3} \div \frac{13}{10}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $3$ .

$\frac{1}{4} \div \frac{9 + 1}{3} \div \frac{13}{10}$

Step 1.2.4.2

Add $9$ and $1$ .

$\frac{1}{4} \div \frac{10}{3} \div \frac{13}{10}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{4} \div \frac{10}{3} \cdot \frac{10}{13}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{4} \cdot \frac{3}{10} \frac{10}{13}$

Step 4

Multiply $\frac{1}{4} \cdot \frac{3}{10}$ .

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Step 4.1

Multiply $\frac{1}{4}$ by $\frac{3}{10}$ .

$\frac{3}{4 \cdot 10} \cdot \frac{10}{13}$

Step 4.2

Multiply $4$ by $10$ .

$\frac{3}{40} \cdot \frac{10}{13}$

Step 5

Cancel the common factor of $10$ .

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Step 5.1

Factor $10$ out of $40$ .

$\frac{3}{10 (4)} \cdot \frac{10}{13}$

Step 5.2

Cancel the common factor.

$\frac{3}{10 \cdot 4} \cdot \frac{10}{13}$

Step 5.3

Rewrite the expression.

$\frac{3}{4} \cdot \frac{1}{13}$

Step 6

Multiply $\frac{3}{4}$ by $\frac{1}{13}$ .

$\frac{3}{4 \cdot 13}$

Step 7

Multiply $4$ by $13$ .

$\frac{3}{52}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{52}$

Decimal Form:

$0.05769230 \dots$