Basic Math Examples

3 \frac{1}{8} - 2.75

$3 \frac{1}{8} - 2.75$

Step 1

Convert

3 \frac{1}{8}

$3 \frac{1}{8}$ to an improper fraction.

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Step 1.1

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

3 + \frac{1}{8} - 2.75

$3 + \frac{1}{8} - 2.75$

Step 1.2

Add

3

$3$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

3 \cdot \frac{8}{8} + \frac{1}{8} - 2.75

$3 \cdot \frac{8}{8} + \frac{1}{8} - 2.75$

Step 1.2.2

Combine

3

$3$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{3 \cdot 8}{8} + \frac{1}{8} - 2.75

$\frac{3 \cdot 8}{8} + \frac{1}{8} - 2.75$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 8 + 1}{8} - 2.75

$\frac{3 \cdot 8 + 1}{8} - 2.75$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

8

$8$ .

\frac{24 + 1}{8} - 2.75

$\frac{24 + 1}{8} - 2.75$

Step 1.2.4.2

Add

24

$24$ and

1

$1$ .

\frac{25}{8} - 2.75

$\frac{25}{8} - 2.75$

\frac{25}{8} - 2.75

$\frac{25}{8} - 2.75$

\frac{25}{8} - 2.75

$\frac{25}{8} - 2.75$

\frac{25}{8} - 2.75

$\frac{25}{8} - 2.75$

Step 2

To write

- 2.75

$- 2.75$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{25}{8} - 2.75 \cdot \frac{8}{8}

$\frac{25}{8} - 2.75 \cdot \frac{8}{8}$

Step 3

Combine

- 2.75

$- 2.75$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{25}{8} + \frac{- 2.75 \cdot 8}{8}

$\frac{25}{8} + \frac{- 2.75 \cdot 8}{8}$

Step 4

Combine the numerators over the common denominator.

\frac{25 - 2.75 \cdot 8}{8}

$\frac{25 - 2.75 \cdot 8}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 2.75

$- 2.75$ by

8

$8$ .

\frac{25 - 22}{8}

$\frac{25 - 22}{8}$

Step 5.2

Subtract

22

$22$ from

25

$25$ .

\frac{3}{8}

$\frac{3}{8}$

Step 6

Cancel the common factor of

$3$ and

$8$ .

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Step 6.1

Rewrite

$3$ as

$1 (3)$ .

$\frac{1 (3)}{8}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Rewrite

$8$ as

$1 (8)$ .

$\frac{1 \cdot 3}{1 \cdot 8}$

Step 6.2.2

Cancel the common factor.

$\frac{1 \cdot 3}{1 \cdot 8}$

Step 6.2.3

Rewrite the expression.

$\frac{3}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$