Basic Math Examples

$1 \frac{5}{11} \div \frac{1}{3}$

Step 1

Convert $1 \frac{5}{11}$ to an improper fraction.

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Step 1.1

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

$(1 + \frac{5}{11}) \div \frac{1}{3}$

Step 1.2

Add $1$ and $\frac{5}{11}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$(\frac{11}{11} + \frac{5}{11}) \div \frac{1}{3}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{11 + 5}{11} \div \frac{1}{3}$

Step 1.2.3

Add $11$ and $5$ .

$\frac{16}{11} \div \frac{1}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{16}{11} \cdot 3$

Step 3

Multiply $\frac{16}{11} \cdot 3$ .

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Step 3.1

Combine $\frac{16}{11}$ and $3$ .

$\frac{16 \cdot 3}{11}$

Step 3.2

Multiply $16$ by $3$ .

$\frac{48}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{48}{11}$

Decimal Form:

$4.\overline{36}$

Mixed Number Form:

$4 \frac{4}{11}$