Basic Math Examples

$236 \frac{1}{4} + 13 \frac{1}{2}$

Step 1

Convert

$236 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$236 + \frac{1}{4} + 13 \frac{1}{2}$

Step 1.2

Add

$236$ and

$\frac{1}{4}$ .

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Step 1.2.1

To write

$236$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$236 \cdot \frac{4}{4} + \frac{1}{4} + 13 \frac{1}{2}$

Step 1.2.2

Combine

$236$ and

$\frac{4}{4}$ .

$\frac{236 \cdot 4}{4} + \frac{1}{4} + 13 \frac{1}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{236 \cdot 4 + 1}{4} + 13 \frac{1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$236$ by

$4$ .

$\frac{944 + 1}{4} + 13 \frac{1}{2}$

Step 1.2.4.2

Add

$944$ and

$1$ .

$\frac{945}{4} + 13 \frac{1}{2}$

Step 2

Convert

$13 \frac{1}{2}$ to an improper fraction.

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Step 2.1

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

$\frac{945}{4} + 13 + \frac{1}{2}$

Step 2.2

Add

$13$ and

$\frac{1}{2}$ .

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Step 2.2.1

To write

$13$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{945}{4} + 13 \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.2.2

Combine

$13$ and

$\frac{2}{2}$ .

$\frac{945}{4} + \frac{13 \cdot 2}{2} + \frac{1}{2}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{945}{4} + \frac{13 \cdot 2 + 1}{2}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$13$ by

$2$ .

$\frac{945}{4} + \frac{26 + 1}{2}$

Step 2.2.4.2

Add

$26$ and

$1$ .

$\frac{945}{4} + \frac{27}{2}$

Step 3

To write

$\frac{27}{2}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{945}{4} + \frac{27}{2} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of

$4$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{27}{2}$ by

$\frac{2}{2}$ .

$\frac{945}{4} + \frac{27 \cdot 2}{2 \cdot 2}$

Step 4.2

Multiply

$2$ by

$2$ .

$\frac{945}{4} + \frac{27 \cdot 2}{4}$

Step 5

Combine the numerators over the common denominator.

$\frac{945 + 27 \cdot 2}{4}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$27$ by

$2$ .

$\frac{945 + 54}{4}$

Step 6.2

Add

$945$ and

$54$ .

$\frac{999}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{999}{4}$

Decimal Form:

$249.75$

Mixed Number Form:

$249 \frac{3}{4}$