Basic Math Examples

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

Step 1

Convert $3 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add $3$ and $\frac{3}{4}$ .

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Step 1.2.1

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

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

Step 1.2.2

Combine $3$ and $\frac{4}{4}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $4$ .

$\frac{12 + 3}{4} \cdot \frac{1}{4}$

Step 1.2.4.2

Add $12$ and $3$ .

$\frac{15}{4} \cdot \frac{1}{4}$

Step 2

Multiply $\frac{15}{4} \cdot \frac{1}{4}$ .

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Step 2.1

Multiply $\frac{15}{4}$ by $\frac{1}{4}$ .

$\frac{15}{4 \cdot 4}$

Step 2.2

Multiply $4$ by $4$ .

$\frac{15}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{16}$

Decimal Form:

$0.9375$