Basic Math Examples

4 - 2 \frac{3}{8}

$4 - 2 \frac{3}{8}$

Step 1

Convert

2 \frac{3}{8}

$2 \frac{3}{8}$ 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{3}{8})

$4 - (2 + \frac{3}{8})$

Step 1.2

Add

2

$2$ and

\frac{3}{8}

$\frac{3}{8}$ .

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Step 1.2.1

To write

2

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

\frac{8}{8}

$\frac{8}{8}$ .

4 - (2 \cdot \frac{8}{8} + \frac{3}{8})

$4 - (2 \cdot \frac{8}{8} + \frac{3}{8})$

Step 1.2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

4 - (\frac{2 \cdot 8}{8} + \frac{3}{8})

$4 - (\frac{2 \cdot 8}{8} + \frac{3}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

4 - \frac{2 \cdot 8 + 3}{8}

$4 - \frac{2 \cdot 8 + 3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

8

$8$ .

4 - \frac{16 + 3}{8}

$4 - \frac{16 + 3}{8}$

Step 1.2.4.2

Add

16

$16$ and

3

$3$ .

4 - \frac{19}{8}

$4 - \frac{19}{8}$

4 - \frac{19}{8}

$4 - \frac{19}{8}$

4 - \frac{19}{8}

$4 - \frac{19}{8}$

4 - \frac{19}{8}

$4 - \frac{19}{8}$

Step 2

To write

4

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

\frac{8}{8}

$\frac{8}{8}$ .

4 \cdot \frac{8}{8} - \frac{19}{8}

$4 \cdot \frac{8}{8} - \frac{19}{8}$

Step 3

Combine

4

$4$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{4 \cdot 8}{8} - \frac{19}{8}

$\frac{4 \cdot 8}{8} - \frac{19}{8}$

Step 4

Combine the numerators over the common denominator.

\frac{4 \cdot 8 - 19}{8}

$\frac{4 \cdot 8 - 19}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

4

$4$ by

8

$8$ .

\frac{32 - 19}{8}

$\frac{32 - 19}{8}$

Step 5.2

Subtract

19

$19$ from

32

$32$ .

\frac{13}{8}

$\frac{13}{8}$

\frac{13}{8}

$\frac{13}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{13}{8}

$\frac{13}{8}$

Decimal Form:

1.625

$1.625$

Mixed Number Form:

1 \frac{5}{8}

$1 \frac{5}{8}$