The solution to (4/5)/10 is 2/25

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Popular >

Simplify (4/5)÷10

Solution

(4/5) /10

Solution

\frac{2}{25}

Solution steps

(4/5) /10

Follow the PEMDAS order of operations

Calculate within parentheses

(4/5) : \frac{4}{5}

4/5

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

= \frac{4}{5}

= \frac{4}{5} /10

Multiply and divide (left to right)

\frac{4}{5} /10 : \frac{2}{25}

\frac{4}{5} /10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{4}{5} \div \frac{10}{1}

Apply the fraction rule:

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

= \frac{4}{5} \cdot \frac{1}{10}

Cross-cancel common factor:

2

4, 10

Greatest Common Divisor (GCD)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

The prime factors common to

4, 10

are

= 2

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

Multiply fractions:

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

Multiply the numbers:

5 \cdot 5 = 25

= \frac{2}{25}

= \frac{2}{25}

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Frequently Asked Questions (FAQ)

What is (4/5)/10 ?
The solution to (4/5)/10 is 2/25

Simplify (4/5)÷10

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (4/5)/10 ?