Basic Math Examples

4 - 2 \frac{7}{8}

$4 - 2 \frac{7}{8}$

Step 1

Convert

$2 \frac{7}{8}$ to an improper fraction.

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Step 1.1

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

$4 - (2 + \frac{7}{8})$

Step 1.2

Add

$2$ and

$\frac{7}{8}$ .

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Step 1.2.1

To write

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

$\frac{8}{8}$ .

$4 - (2 \cdot \frac{8}{8} + \frac{7}{8})$

Step 1.2.2

Combine

$2$ and

$\frac{8}{8}$ .

$4 - (\frac{2 \cdot 8}{8} + \frac{7}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

$4 - \frac{2 \cdot 8 + 7}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$8$ .

$4 - \frac{16 + 7}{8}$

Step 1.2.4.2

Add

$16$ and

$7$ .

$4 - \frac{23}{8}$

Step 2

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$4 \cdot \frac{8}{8} - \frac{23}{8}$

Step 3

Combine

$4$ and

$\frac{8}{8}$ .

$\frac{4 \cdot 8}{8} - \frac{23}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 8 - 23}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$4$ by

$8$ .

$\frac{32 - 23}{8}$

Step 5.2

Subtract

$23$ from

$32$ .

$\frac{9}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{8}$

Decimal Form:

$1.125$

Mixed Number Form:

$1 \frac{1}{8}$