The solution to (3/8)/24 is 1/64

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Write the Fraction in Simplest Form (3/8)÷24

Solution

(3/8) /24

Solution

\frac{1}{64}

Solution steps

(3/8) /24

Follow the PEMDAS order of operations

Calculate within parentheses

(3/8) : \frac{3}{8}

3/8

3/8 = \frac{3}{8}

= \frac{3}{8}

= \frac{3}{8} /24

Multiply and divide (left to right)

\frac{3}{8} /24 : \frac{1}{64}

\frac{3}{8} /24

Convert element to fraction:

24 = \frac{24}{1}

= \frac{3}{8} \div \frac{24}{1}

Apply the fraction rule:

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

= \frac{3}{8} \cdot \frac{1}{24}

Cross-cancel common factor:

3

3, 24

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

24 : 2 \cdot 2 \cdot 2 \cdot 3

24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 3

The prime factors common to

3, 24

are

= 3

= \frac{1}{8} \cdot \frac{1}{8}

Multiply fractions:

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

= \frac{1 \cdot 1}{8 \cdot 8}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{8 \cdot 8}

Multiply the numbers:

8 \cdot 8 = 64

= \frac{1}{64}

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is (3/8)/24 ?
The solution to (3/8)/24 is 1/64

Write the Fraction in Simplest Form (3/8)÷24

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (3/8)/24 ?