Basic Math Examples

8 - 2 \frac{1}{4}

$8 - 2 \frac{1}{4}$

Step 1

Convert

2 \frac{1}{4}

$2 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

8 - (2 + \frac{1}{4})

$8 - (2 + \frac{1}{4})$

Step 1.2

Add

2

$2$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

8 - (2 \cdot \frac{4}{4} + \frac{1}{4})

$8 - (2 \cdot \frac{4}{4} + \frac{1}{4})$

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

8 - (\frac{2 \cdot 4}{4} + \frac{1}{4})

$8 - (\frac{2 \cdot 4}{4} + \frac{1}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

8 - \frac{2 \cdot 4 + 1}{4}

$8 - \frac{2 \cdot 4 + 1}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

8 - \frac{8 + 1}{4}

$8 - \frac{8 + 1}{4}$

Step 1.2.4.2

Add

8

$8$ and

1

$1$ .

8 - \frac{9}{4}

$8 - \frac{9}{4}$

8 - \frac{9}{4}

$8 - \frac{9}{4}$

8 - \frac{9}{4}

$8 - \frac{9}{4}$

8 - \frac{9}{4}

$8 - \frac{9}{4}$

Step 2

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

8 \cdot \frac{4}{4} - \frac{9}{4}

$8 \cdot \frac{4}{4} - \frac{9}{4}$

Step 3

Combine

8

$8$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{8 \cdot 4}{4} - \frac{9}{4}

$\frac{8 \cdot 4}{4} - \frac{9}{4}$

Step 4

Combine the numerators over the common denominator.

\frac{8 \cdot 4 - 9}{4}

$\frac{8 \cdot 4 - 9}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

8

$8$ by

4

$4$ .

\frac{32 - 9}{4}

$\frac{32 - 9}{4}$

Step 5.2

Subtract

9

$9$ from

32

$32$ .

\frac{23}{4}

$\frac{23}{4}$

\frac{23}{4}

$\frac{23}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{23}{4}

$\frac{23}{4}$

Decimal Form:

5.75

$5.75$

Mixed Number Form:

5 \frac{3}{4}

$5 \frac{3}{4}$