What is -3/8 (3-3/5-2/5) ?

The solution to -3/8 (3-3/5-2/5) is -3/4

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-3/8 (3-3/5-2/5)

- \frac{3}{8} (3 - \frac{3}{5} - \frac{2}{5})

- \frac{3}{4}

Solution steps

- \frac{3}{8} (3 - \frac{3}{5} - \frac{2}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - \frac{3}{5} - \frac{2}{5}) : 2

3 - \frac{3}{5} - \frac{2}{5}

Add and subtract (left to right)

3 - \frac{3}{5} = \frac{12}{5}

3 - \frac{3}{5}

Convert element to fraction:

3 = \frac{3 \cdot 5}{5}

= \frac{3 \cdot 5}{5} - \frac{3}{5}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 \cdot 5 - 3}{5}

3 \cdot 5 - 3 = 12

3 \cdot 5 - 3

Multiply the numbers:

3 \cdot 5 = 15

= 15 - 3

Subtract the numbers:

15 - 3 = 12

= 12

= \frac{12}{5}

= \frac{12}{5} - \frac{2}{5}

\frac{12}{5} - \frac{2}{5} = 2

\frac{12}{5} - \frac{2}{5}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{12 - 2}{5}

Subtract the numbers:

12 - 2 = 10

= \frac{10}{5}

Divide the numbers:

\frac{10}{5} = 2

= 2

= 2

= - \frac{3}{8} \cdot 2

Multiply and divide (left to right)

- \frac{3}{8} \cdot 2 : - \frac{3}{4}

- \frac{3}{8} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{3}{8} \cdot \frac{2}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{3}{8} \cdot \frac{2}{1} = \frac{3 \cdot 2}{8 \cdot 1}

= - \frac{3 \cdot 2}{8 \cdot 1}

\frac{3 \cdot 2}{8 \cdot 1} = \frac{3}{4}

\frac{3 \cdot 2}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{3 \cdot 2}{8}

Factor the number:

8 = 2 \cdot 4

= \frac{3 \cdot 2}{2 \cdot 4}

Cancel the common factor:

2

= \frac{3}{4}

= - \frac{3}{4}

= - \frac{3}{4}

48 \div 2 \times (9 + 3)

2^{3} \times 2

- 1 - (1 - 1 - (1 - 1))

2^{16} - 2

3 (- 1) - 2