The solution to (3/4)/36 is 1/48

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Popular >

Write the Fraction in Simplest Form (3/4)÷36

Solution

(3/4) /36

Solution

\frac{1}{48}

Solution steps

(3/4) /36

Follow the PEMDAS order of operations

Calculate within parentheses

(3/4) : \frac{3}{4}

3/4

3/4 = \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4} /36

Multiply and divide (left to right)

\frac{3}{4} /36 : \frac{1}{48}

\frac{3}{4} /36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{3}{4} \div \frac{36}{1}

Apply the fraction rule:

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

= \frac{3}{4} \cdot \frac{1}{36}

Cross-cancel common factor:

3

3, 36

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

36 : 2 \cdot 2 \cdot 3 \cdot 3

36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3

The prime factors common to

3, 36

are

= 3

= \frac{1}{4} \cdot \frac{1}{12}

Multiply fractions:

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

= \frac{1 \cdot 1}{4 \cdot 12}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{4 \cdot 12}

Multiply the numbers:

4 \cdot 12 = 48

= \frac{1}{48}

= \frac{1}{48}

Popular Examples

Convert to a Mixed Number 21/4 mixed number

\frac{21}{4}

155/3 long division

\frac{155}{3}

Convert to a Mixed Number 23/12 mixed number

\frac{23}{12}

Convert to a Mixed Number 21/16 mixed number

\frac{21}{16}

Convert to a Decimal 16/5 long division

\frac{16}{5}

Frequently Asked Questions (FAQ)

What is (3/4)/36 ?
The solution to (3/4)/36 is 1/48

Write the Fraction in Simplest Form (3/4)÷36

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (3/4)/36 ?