What is 2/5 \times (1-3/4) ?

The solution to 2/5 \times (1-3/4) is 1/10

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2/5 \times (1-3/4)

\frac{2}{5} \cdot (1 - \frac{3}{4})

\frac{1}{10}

Solution steps

\frac{2}{5} (1 - \frac{3}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{3}{4}) : \frac{1}{4}

1 - \frac{3}{4}

1 - \frac{3}{4} = \frac{1}{4}

1 - \frac{3}{4}

Convert element to fraction:

1 = \frac{1 \cdot 4}{4}

= \frac{1 \cdot 4}{4} - \frac{3}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 4 - 3}{4}

1 \cdot 4 - 3 = 1

1 \cdot 4 - 3

Multiply the numbers:

1 \cdot 4 = 4

= 4 - 3

Subtract the numbers:

4 - 3 = 1

= 1

= \frac{1}{4}

= \frac{1}{4}

= \frac{2}{5} \cdot \frac{1}{4}

Multiply and divide (left to right)

\frac{2}{5} \cdot \frac{1}{4} : \frac{1}{10}

\frac{2}{5} \cdot \frac{1}{4}

Apply the fraction rule:

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

= \frac{2 \cdot 1}{5 \cdot 4}

Cancel

\frac{2 \cdot 1}{5 \cdot 4} : \frac{1}{10}

\frac{2 \cdot 1}{5 \cdot 4}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{2}{5 \cdot 4}

Cancel the numbers:

\frac{2}{4} = \frac{1}{2}

= \frac{1}{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{1}{10}

= \frac{1}{10}

= \frac{1}{10}

2 \cdot (- 3)^{2}

(12 - 10) + (18 - 14)

15 \times (7 - 3) \div 3 - 1

5 (- 7) + 2

10 - 2 (- 2)