The solution to (3/5)/6 is 1/10

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Popular >

Simplify (3/5)÷6

Solution

(3/5) /6

Solution

\frac{1}{10}

Solution steps

(3/5) /6

Follow the PEMDAS order of operations

Calculate within parentheses

(3/5) : \frac{3}{5}

3/5

3/5 = \frac{3}{5}

= \frac{3}{5}

= \frac{3}{5} /6

Multiply and divide (left to right)

\frac{3}{5} /6 : \frac{1}{10}

\frac{3}{5} /6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{3}{5} \div \frac{6}{1}

Apply the fraction rule:

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

= \frac{3}{5} \cdot \frac{1}{6}

Cross-cancel common factor:

3

3, 6

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

The prime factors common to

3, 6

are

= 3

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Multiply the numbers:

5 \cdot 2 = 10

= \frac{1}{10}

= \frac{1}{10}

Popular Examples

Divide 4/3.5 long division

\frac{4}{3.5}

Find the Possible Factors 361 positive factors of

361

Reduce the Fraction 330/360 reduce fraction

t h e \frac{330}{360}

Simplify 2 1/2÷(5/8)

2 \frac{1}{2} / (5/8)

Convert to an Improper Fraction 4 2/3 improper fraction

4 \frac{2}{3}

Frequently Asked Questions (FAQ)

What is (3/5)/6 ?
The solution to (3/5)/6 is 1/10

Simplify (3/5)÷6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (3/5)/6 ?