Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $3$ and $\frac{1}{8}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

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

Step 1.2.2

Combine $3$ and $\frac{8}{8}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $8$ .

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

Step 1.2.4.2

Add $24$ and $1$ .

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

Step 2

To write $- 2.75$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

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

Step 3

Combine $- 2.75$ and $\frac{8}{8}$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 2.75$ by $8$ .

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

Step 5.2

Subtract $22$ from $25$ .

$\frac{3}{8}$

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:

$0.375$