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

The solution to (2/5)/(8/5) is 1/4

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(2/5)÷(8/5)

(2/5) / (8/5)

\frac{1}{4}

Solution steps

(2/5) / (8/5)

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} / (8/5)

Calculate within parentheses

(8/5) : \frac{8}{5}

8/5

8/5 = \frac{8}{5}

= \frac{8}{5}

= \frac{2}{5} / \frac{8}{5}

Multiply and divide (left to right)

\frac{2}{5} / \frac{8}{5} : \frac{1}{4}

\frac{2}{5} / \frac{8}{5}

Apply the fraction rule:

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

= \frac{2}{5} \cdot \frac{5}{8}

Multiply fractions:

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

= \frac{2 \cdot 5}{5 \cdot 8}

Cancel the common factor:

5

= \frac{2}{8}

Cancel the common factor:

2

= \frac{1}{4}

= \frac{1}{4}

149

\frac{17}{5}

0.32

0.045

t h e \frac{80}{39}