Basic Math Examples

$\frac{3}{4} \cdot 1 \frac{3}{8}$

Step 1

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

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Step 1.1

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

$\frac{3}{4} \cdot (1 + \frac{3}{8})$

Step 1.2

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

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $8$ and $3$ .

$\frac{3}{4} \cdot \frac{11}{8}$

Step 2

Multiply $\frac{3}{4} \cdot \frac{11}{8}$ .

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Step 2.1

Multiply $\frac{3}{4}$ by $\frac{11}{8}$ .

$\frac{3 \cdot 11}{4 \cdot 8}$

Step 2.2

Multiply $3$ by $11$ .

$\frac{33}{4 \cdot 8}$

Step 2.3

Multiply $4$ by $8$ .

$\frac{33}{32}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{32}$

Decimal Form:

$1.03125$

Mixed Number Form:

$1 \frac{1}{32}$