Basic Math Examples

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

Step 1

Convert

$1 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add

$1$ and

$\frac{3}{4}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add

$4$ and

$3$ .

$3 - \frac{7}{4}$

Step 2

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$3 \cdot \frac{4}{4} - \frac{7}{4}$

Step 3

Combine

$3$ and

$\frac{4}{4}$ .

$\frac{3 \cdot 4}{4} - \frac{7}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 - 7}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$4$ .

$\frac{12 - 7}{4}$

Step 5.2

Subtract

$7$ from

$12$ .

$\frac{5}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$