Basic Math Examples

4 - 3 \frac{3}{4}

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

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.

$4 - (3 + \frac{3}{4})$

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

$\frac{4}{4}$ .

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

Step 1.2.2

Combine

$3$ and

$\frac{4}{4}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$4$ .

$4 - \frac{12 + 3}{4}$

Step 1.2.4.2

Add

$12$ and

$3$ .

$4 - \frac{15}{4}$

Step 2

To write

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

$\frac{4}{4}$ .

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

Step 3

Combine

$4$ and

$\frac{4}{4}$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$4$ by

$4$ .

$\frac{16 - 15}{4}$

Step 5.2

Subtract

$15$ from

$16$ .

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$