What is (10 2/3 \div 4)\div 24 ?

The solution to (10 2/3 \div 4)\div 24 is 1/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(10 2/3 \div 4)\div 24

Solution

(10 \frac{2}{3} \div 4) \div 24

Solution

\frac{1}{9}

Solution steps

(10 \frac{2}{3} \div 4) \div 24

Convert mixed numbers to improper fractions:

10 \frac{2}{3} = \frac{32}{3}

10 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

10 \frac{2}{3} = \frac{10 \cdot 3 + 2}{3}

= \frac{32}{3}

= (\frac{32}{3} \div 4) \div 24

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{32}{3} \div 4) : \frac{8}{3}

\frac{32}{3} \div 4

Multiply and divide (left to right)

Convert element to fraction:

4 = \frac{4}{1}

= \frac{32}{3} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{32}{3} \cdot \frac{1}{4}

Cross-cancel common factor:

4

= \frac{8}{3}

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

Multiply and divide (left to right)

\frac{8}{3} \div 24 : \frac{1}{9}

\frac{8}{3} \div 24

Convert element to fraction:

24 = \frac{24}{1}

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

8

8, 24

Greatest Common Divisor (GCD)

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

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

8, 24

are

= 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 = 8

= 8

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{1}{9}

= \frac{1}{9}

Popular Examples

10-96/5-3

10 - \frac{96}{5} - 3

7(3)+6/2-9

7 (3) + \frac{6}{2} - 9

3+2(8/2)

3 + 2 (\frac{8}{2})

2^3+1*6

2^{3} + 1 \cdot 6

(20+5)\times (25-10)

(20 + 5) \times (25 - 10)

Frequently Asked Questions (FAQ)

What is (10 2/3 \div 4)\div 24 ?
The solution to (10 2/3 \div 4)\div 24 is 1/9