The solution to (1/5)/100 is 1/500

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Evaluate (1/5)/100

Solution

(1/5) /100

\frac{1}{500}

Solution steps

(1/5) /100

Follow the PEMDAS order of operations

Calculate within parentheses

(1/5) : \frac{1}{5}

1/5

1/5 = \frac{1}{5}

= \frac{1}{5}

= \frac{1}{5} /100

Multiply and divide (left to right)

\frac{1}{5} /100 : \frac{1}{500}

\frac{1}{5} /100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{1}{5} \div \frac{100}{1}

Apply the fraction rule:

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

= \frac{1}{5} \cdot \frac{1}{100}

Multiply fractions:

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

= \frac{1 \cdot 1}{5 \cdot 100}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{5 \cdot 100}

Multiply the numbers:

5 \cdot 100 = 500

= \frac{1}{500}

= \frac{1}{500}

150 \cdot 6

208

33.33

88

t o a p erce n t a g e 30/25