Basic Math Examples

$28 \div 3 \frac{8}{11}$

Step 1

Convert $3 \frac{8}{11}$ to an improper fraction.

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Step 1.1

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

$28 \div (3 + \frac{8}{11})$

Step 1.2

Add $3$ and $\frac{8}{11}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$28 \div (3 \cdot \frac{11}{11} + \frac{8}{11})$

Step 1.2.2

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

$28 \div (\frac{3 \cdot 11}{11} + \frac{8}{11})$

Step 1.2.3

Combine the numerators over the common denominator.

$28 \div \frac{3 \cdot 11 + 8}{11}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $11$ .

$28 \div \frac{33 + 8}{11}$

Step 1.2.4.2

Add $33$ and $8$ .

$28 \div \frac{41}{11}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$28 (\frac{11}{41})$

Step 3

Multiply $28 (\frac{11}{41})$ .

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Step 3.1

Combine $28$ and $\frac{11}{41}$ .

$\frac{28 \cdot 11}{41}$

Step 3.2

Multiply $28$ by $11$ .

$\frac{308}{41}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{308}{41}$

Decimal Form:

$7.\overline{51219}$

Mixed Number Form:

$7 \frac{21}{41}$