Basic Math Examples

$2 \frac{7}{10} - \frac{9}{10}$

Step 1

Convert

$2 \frac{7}{10}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$2 + \frac{7}{10} - \frac{9}{10}$

Step 1.2

Add

$2$ and

$\frac{7}{10}$ .

Tap for more steps...

Step 1.2.1

To write

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

$\frac{10}{10}$ .

$2 \cdot \frac{10}{10} + \frac{7}{10} - \frac{9}{10}$

Step 1.2.2

Combine

$2$ and

$\frac{10}{10}$ .

$\frac{2 \cdot 10}{10} + \frac{7}{10} - \frac{9}{10}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 10 + 7}{10} - \frac{9}{10}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$2$ by

$10$ .

$\frac{20 + 7}{10} - \frac{9}{10}$

Step 1.2.4.2

Add

$20$ and

$7$ .

$\frac{27}{10} - \frac{9}{10}$

Step 2

Combine the numerators over the common denominator.

$\frac{27 - 9}{10}$

Step 3

Subtract

$9$ from

$27$ .

$\frac{18}{10}$

Step 4

Cancel the common factor of

$18$ and

$10$ .

Tap for more steps...

Step 4.1

Factor

$2$ out of

$18$ .

$\frac{2 (9)}{10}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor

$2$ out of

$10$ .

$\frac{2 \cdot 9}{2 \cdot 5}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 9}{2 \cdot 5}$

Step 4.2.3

Rewrite the expression.

$\frac{9}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{5}$

Decimal Form:

$1.8$

Mixed Number Form:

$1 \frac{4}{5}$