Basic Math Examples

$\frac{9}{4} - (\frac{1}{5} - \frac{3}{20})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{9}{4} - (\frac{1}{5} \cdot \frac{4}{4} - \frac{3}{20})$

Step 1.2

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 1.2.1

Multiply $\frac{1}{5}$ by $\frac{4}{4}$ .

$\frac{9}{4} - (\frac{4}{5 \cdot 4} - \frac{3}{20})$

Step 1.2.2

Multiply $5$ by $4$ .

$\frac{9}{4} - (\frac{4}{20} - \frac{3}{20})$

Step 1.3

Combine the numerators over the common denominator.

$\frac{9}{4} - \frac{4 - 3}{20}$

Step 1.4

Subtract $3$ from $4$ .

$\frac{9}{4} - \frac{1}{20}$

Step 2

To write $\frac{9}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{9}{4} \cdot \frac{5}{5} - \frac{1}{20}$

Step 3

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{9}{4}$ by $\frac{5}{5}$ .

$\frac{9 \cdot 5}{4 \cdot 5} - \frac{1}{20}$

Step 3.2

Multiply $4$ by $5$ .

$\frac{9 \cdot 5}{20} - \frac{1}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{9 \cdot 5 - 1}{20}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $9$ by $5$ .

$\frac{45 - 1}{20}$

Step 5.2

Subtract $1$ from $45$ .

$\frac{44}{20}$

Step 6

Cancel the common factor of $44$ and $20$ .

Tap for more steps...

Step 6.1

Factor $4$ out of $44$ .

$\frac{4 (11)}{20}$

Step 6.2

Cancel the common factors.

Tap for more steps...

Step 6.2.1

Factor $4$ out of $20$ .

$\frac{4 \cdot 11}{4 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$\frac{4 \cdot 11}{4 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$\frac{11}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{5}$

Decimal Form:

$2.2$

Mixed Number Form:

$2 \frac{1}{5}$