Basic Math Examples

$5 \frac{1}{4} - 2 \frac{3}{4}$

Step 1

Convert

$5 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$5 + \frac{1}{4} - 2 \frac{3}{4}$

Step 1.2

Add

$5$ and

$\frac{1}{4}$ .

Tap for more steps...

Step 1.2.1

To write

$5$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$5 \cdot \frac{4}{4} + \frac{1}{4} - 2 \frac{3}{4}$

Step 1.2.2

Combine

$5$ and

$\frac{4}{4}$ .

$\frac{5 \cdot 4}{4} + \frac{1}{4} - 2 \frac{3}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 4 + 1}{4} - 2 \frac{3}{4}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$5$ by

$4$ .

$\frac{20 + 1}{4} - 2 \frac{3}{4}$

Step 1.2.4.2

Add

$20$ and

$1$ .

$\frac{21}{4} - 2 \frac{3}{4}$

Step 2

Convert

$2 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{21}{4} - (2 + \frac{3}{4})$

Step 2.2

Add

$2$ and

$\frac{3}{4}$ .

Tap for more steps...

Step 2.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{21}{4} - (2 \cdot \frac{4}{4} + \frac{3}{4})$

Step 2.2.2

Combine

$2$ and

$\frac{4}{4}$ .

$\frac{21}{4} - (\frac{2 \cdot 4}{4} + \frac{3}{4})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{21}{4} - \frac{2 \cdot 4 + 3}{4}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

$2$ by

$4$ .

$\frac{21}{4} - \frac{8 + 3}{4}$

Step 2.2.4.2

Add

$8$ and

$3$ .

$\frac{21}{4} - \frac{11}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{21 - 11}{4}$

Step 4

Subtract

$11$ from

$21$ .

$\frac{10}{4}$

Step 5

Cancel the common factor of

$10$ and

$4$ .

Tap for more steps...

Step 5.1

Factor

$2$ out of

$10$ .

$\frac{2 (5)}{4}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor

$2$ out of

$4$ .

$\frac{2 \cdot 5}{2 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{5}{2}$