Basic Math Examples

- 7 \frac{8}{45}

$- 7 \frac{8}{45}$

Step 1

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

- (7 + \frac{8}{45})

$- (7 + \frac{8}{45})$

Step 2

Add

7

$7$ and

\frac{8}{45}

$\frac{8}{45}$ .

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Step 2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{45}{45}

$\frac{45}{45}$ .

- (7 \cdot \frac{45}{45} + \frac{8}{45})

$- (7 \cdot \frac{45}{45} + \frac{8}{45})$

Step 2.2

Combine

7

$7$ and

\frac{45}{45}

$\frac{45}{45}$ .

- (\frac{7 \cdot 45}{45} + \frac{8}{45})

$- (\frac{7 \cdot 45}{45} + \frac{8}{45})$

Step 2.3

Combine the numerators over the common denominator.

- \frac{7 \cdot 45 + 8}{45}

$- \frac{7 \cdot 45 + 8}{45}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

7

$7$ by

45

$45$ .

- \frac{315 + 8}{45}

$- \frac{315 + 8}{45}$

Step 2.4.2

Add

315

$315$ and

8

$8$ .

- \frac{323}{45}

$- \frac{323}{45}$

- \frac{323}{45}

$- \frac{323}{45}$

- \frac{323}{45}

$- \frac{323}{45}$

Step 3

The result can be shown in multiple forms.

Exact Form:

- \frac{323}{45}

$- \frac{323}{45}$

Decimal Form:

- 7.1 ¯ 7

$- 7.1\overline{7}$

Mixed Number Form:

- 7 \frac{8}{45}

$- 7 \frac{8}{45}$