Basic Math Examples

$(1.6 - \frac{3}{5}) \cdot (- 2 \frac{1}{4}) - 0.2 \div (- \frac{4}{5})$

Step 1

Convert $2 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$(1.6 - \frac{3}{5}) \cdot (- (2 + \frac{1}{4})) - 0.2 \div (- \frac{4}{5})$

Step 1.2

Add $2$ and $\frac{1}{4}$ .

Tap for more steps...

Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(1.6 - \frac{3}{5}) \cdot (- (2 \cdot \frac{4}{4} + \frac{1}{4})) - 0.2 \div (- \frac{4}{5})$

Step 1.2.2

Combine $2$ and $\frac{4}{4}$ .

$(1.6 - \frac{3}{5}) \cdot (- (\frac{2 \cdot 4}{4} + \frac{1}{4})) - 0.2 \div (- \frac{4}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$(1.6 - \frac{3}{5}) \cdot (- \frac{2 \cdot 4 + 1}{4}) - 0.2 \div (- \frac{4}{5})$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $2$ by $4$ .

$(1.6 - \frac{3}{5}) \cdot (- \frac{8 + 1}{4}) - 0.2 \div (- \frac{4}{5})$

Step 1.2.4.2

Add $8$ and $1$ .

$(1.6 - \frac{3}{5}) \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

To write $1.6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(1.6 \cdot \frac{5}{5} - \frac{3}{5}) \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.2

Combine $1.6$ and $\frac{5}{5}$ .

$(\frac{1.6 \cdot 5}{5} - \frac{3}{5}) \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.3

Combine the numerators over the common denominator.

$\frac{1.6 \cdot 5 - 3}{5} \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.4

Simplify the numerator.

Tap for more steps...

Step 2.4.1

Multiply $1.6$ by $5$ .

$\frac{8 - 3}{5} \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.4.2

Subtract $3$ from $8$ .

$\frac{5}{5} \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.5

Cancel the common factor of $5$ and $5$ .

Tap for more steps...

Step 2.5.1

Cancel the common factor.

$\frac{5}{5} \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.5.2

Rewrite the expression.

$1 \cdot (- \frac{9}{4}) - 0.2 \div (- \frac{4}{5})$

Step 2.6

Multiply $- \frac{9}{4}$ by $1$ .

$- \frac{9}{4} - 0.2 \div (- \frac{4}{5})$

Step 2.7

To divide by a fraction, multiply by its reciprocal.

$- \frac{9}{4} - (0.2 (- \frac{5}{4}))$

Step 2.8

Cancel the common factor of $0.2$ .

Tap for more steps...

Step 2.8.1

Move the leading negative in $- \frac{5}{4}$ into the numerator.

$- \frac{9}{4} - (0.2 (\frac{- 5}{4}))$

Step 2.8.2

Factor $0.2$ out of $4$ .

$- \frac{9}{4} - (0.2 \frac{- 5}{0.2 (20)})$

Step 2.8.3

Cancel the common factor.

$- \frac{9}{4} - (0.2 \frac{- 5}{0.2 \cdot 20})$

Step 2.8.4

Rewrite the expression.

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

Step 2.9

Cancel the common factor of $- 5$ and $20$ .

Tap for more steps...

Step 2.9.1

Factor $5$ out of $- 5$ .

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

Step 2.9.2

Cancel the common factors.

Tap for more steps...

Step 2.9.2.1

Factor $5$ out of $20$ .

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

Step 2.9.2.2

Cancel the common factor.

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

Step 2.9.2.3

Rewrite the expression.

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

Step 2.10

Move the negative in front of the fraction.

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

Step 2.11

Multiply $- - \frac{1}{4}$ .

Tap for more steps...

Step 2.11.1

Multiply $- 1$ by $- 1$ .

$- \frac{9}{4} + 1 (\frac{1}{4})$

Step 2.11.2

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

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

Step 3

Combine fractions.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Simplify the expression.

Tap for more steps...

Step 3.2.1

Add $- 9$ and $1$ .

$\frac{- 8}{4}$

Step 3.2.2

Divide $- 8$ by $4$ .

$- 2$