Basic Math Examples

$21 \frac{24}{20} - 9 \frac{26}{20}$

Step 1

Convert $21 \frac{24}{20}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$21 + \frac{24}{20} - 9 \frac{26}{20}$

Step 1.2

Add $21$ and $\frac{24}{20}$ .

Tap for more steps...

Step 1.2.1

To write $21$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$21 \cdot \frac{20}{20} + \frac{24}{20} - 9 \frac{26}{20}$

Step 1.2.2

Combine $21$ and $\frac{20}{20}$ .

$\frac{21 \cdot 20}{20} + \frac{24}{20} - 9 \frac{26}{20}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{21 \cdot 20 + 24}{20} - 9 \frac{26}{20}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $21$ by $20$ .

$\frac{420 + 24}{20} - 9 \frac{26}{20}$

Step 1.2.4.2

Add $420$ and $24$ .

$\frac{444}{20} - 9 \frac{26}{20}$

Step 2

Cancel the common factor of $444$ and $20$ .

Tap for more steps...

Step 2.1

Factor $4$ out of $444$ .

$\frac{4 (111)}{20} - 9 \frac{26}{20}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $4$ out of $20$ .

$\frac{4 \cdot 111}{4 \cdot 5} - 9 \frac{26}{20}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 111}{4 \cdot 5} - 9 \frac{26}{20}$

Step 2.2.3

Rewrite the expression.

$\frac{111}{5} - 9 \frac{26}{20}$

Step 3

Convert $9 \frac{26}{20}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

$\frac{111}{5} - (9 + \frac{26}{20})$

Step 3.2

Add $9$ and $\frac{26}{20}$ .

Tap for more steps...

Step 3.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$\frac{111}{5} - (9 \cdot \frac{20}{20} + \frac{26}{20})$

Step 3.2.2

Combine $9$ and $\frac{20}{20}$ .

$\frac{111}{5} - (\frac{9 \cdot 20}{20} + \frac{26}{20})$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{111}{5} - \frac{9 \cdot 20 + 26}{20}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply $9$ by $20$ .

$\frac{111}{5} - \frac{180 + 26}{20}$

Step 3.2.4.2

Add $180$ and $26$ .

$\frac{111}{5} - \frac{206}{20}$

Step 4

Cancel the common factor of $206$ and $20$ .

Tap for more steps...

Step 4.1

Factor $2$ out of $206$ .

$\frac{111}{5} - \frac{2 (103)}{20}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $2$ out of $20$ .

$\frac{111}{5} - \frac{2 \cdot 103}{2 \cdot 10}$

Step 4.2.2

Cancel the common factor.

$\frac{111}{5} - \frac{2 \cdot 103}{2 \cdot 10}$

Step 4.2.3

Rewrite the expression.

$\frac{111}{5} - \frac{103}{10}$

Step 5

To write $\frac{111}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{111}{5} \cdot \frac{2}{2} - \frac{103}{10}$

Step 6

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 6.1

Multiply $\frac{111}{5}$ by $\frac{2}{2}$ .

$\frac{111 \cdot 2}{5 \cdot 2} - \frac{103}{10}$

Step 6.2

Multiply $5$ by $2$ .

$\frac{111 \cdot 2}{10} - \frac{103}{10}$

Step 7

Combine the numerators over the common denominator.

$\frac{111 \cdot 2 - 103}{10}$

Step 8

Simplify the numerator.

Tap for more steps...

Step 8.1

Multiply $111$ by $2$ .

$\frac{222 - 103}{10}$

Step 8.2

Subtract $103$ from $222$ .

$\frac{119}{10}$