Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $2$ and $\frac{3}{8}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

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

Step 1.2.2

Combine $2$ and $\frac{8}{8}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $8$ .

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

Step 1.2.4.2

Add $16$ and $3$ .

$\frac{19}{8} - \frac{3}{4}$

Step 2

To write $- \frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{19}{8} - \frac{3}{4} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{3}{4}$ by $\frac{2}{2}$ .

$\frac{19}{8} - \frac{3 \cdot 2}{4 \cdot 2}$

Step 3.2

Multiply $4$ by $2$ .

$\frac{19}{8} - \frac{3 \cdot 2}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{19 - 3 \cdot 2}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 3$ by $2$ .

$\frac{19 - 6}{8}$

Step 5.2

Subtract $6$ from $19$ .

$\frac{13}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{8}$

Decimal Form:

$1.625$

Mixed Number Form:

$1 \frac{5}{8}$