Basic Math Examples

$4 \frac{1}{8} - 2 \frac{3}{8}$

Step 1

Convert

$4 \frac{1}{8}$ to an improper fraction.

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Step 1.1

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

$4 + \frac{1}{8} - 2 \frac{3}{8}$

Step 1.2

Add

$4$ and

$\frac{1}{8}$ .

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Step 1.2.1

To write

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

$\frac{8}{8}$ .

$4 \cdot \frac{8}{8} + \frac{1}{8} - 2 \frac{3}{8}$

Step 1.2.2

Combine

$4$ and

$\frac{8}{8}$ .

$\frac{4 \cdot 8}{8} + \frac{1}{8} - 2 \frac{3}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 8 + 1}{8} - 2 \frac{3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$4$ by

$8$ .

$\frac{32 + 1}{8} - 2 \frac{3}{8}$

Step 1.2.4.2

Add

$32$ and

$1$ .

$\frac{33}{8} - 2 \frac{3}{8}$

Step 2

Convert

$2 \frac{3}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{33}{8} - (2 + \frac{3}{8})$

Step 2.2

Add

$2$ and

$\frac{3}{8}$ .

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Step 2.2.1

To write

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

$\frac{8}{8}$ .

$\frac{33}{8} - (2 \cdot \frac{8}{8} + \frac{3}{8})$

Step 2.2.2

Combine

$2$ and

$\frac{8}{8}$ .

$\frac{33}{8} - (\frac{2 \cdot 8}{8} + \frac{3}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{33}{8} - \frac{2 \cdot 8 + 3}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$2$ by

$8$ .

$\frac{33}{8} - \frac{16 + 3}{8}$

Step 2.2.4.2

Add

$16$ and

$3$ .

$\frac{33}{8} - \frac{19}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{33 - 19}{8}$

Step 4

Subtract

$19$ from

$33$ .

$\frac{14}{8}$

Step 5

Cancel the common factor of

$14$ and

$8$ .

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Step 5.1

Factor

$2$ out of

$14$ .

$\frac{2 (7)}{8}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$8$ .

$\frac{2 \cdot 7}{2 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{7}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4}$

Decimal Form:

$1.75$

Mixed Number Form:

$1 \frac{3}{4}$