What is (2/5)/(4/10) ?

The solution to (2/5)/(4/10) is 1

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(2/5)/(4/10)

(2/5) / (4/10)

1

Solution steps

(2/5) / (4/10)

Follow the PEMDAS order of operations

Calculate within parentheses

(2/5) : \frac{2}{5}

2/5

2/5 = \frac{2}{5}

= \frac{2}{5}

= \frac{2}{5} / (4/10)

Calculate within parentheses

(4/10) : \frac{4}{10}

4/10

4/10 = \frac{4}{10}

= \frac{4}{10}

= \frac{2}{5} / \frac{4}{10}

Multiply and divide (left to right)

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

\frac{2}{5} / \frac{4}{10}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{2}{5} \cdot \frac{10}{4}

\frac{10}{4} = \frac{5}{2}

\frac{10}{4}

Cancel the common factor:

2

= \frac{5}{2}

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

Multiply fractions:

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

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

Cancel the common factor:

2

= \frac{5}{5}

Cancel the common factor:

5

= 1

= 1

- 3 + 2 - 4

- 2 (1 + 7) - (6 + 3)

- 3 + 1 + 9

- 4 (0)^{2}

3 - (- 2) + 5 + (- 3) + 2 + (- 7) + 1 - 2