What is 2\div 3\div 4\div 5\div 6\div 8 ?

The solution to 2\div 3\div 4\div 5\div 6\div 8 is 1/1440

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Popular >

2\div 3\div 4\div 5\div 6\div 8

Solution

2 \div 3 \div 4 \div 5 \div 6 \div 8

Solution

\frac{1}{1440}

Solution steps

2 \div 3 \div 4 \div 5 \div 6 \div 8

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \div 3 = \frac{2}{3}

= \frac{2}{3} \div 4 \div 5 \div 6 \div 8

\frac{2}{3} \div 4 = \frac{1}{6}

\frac{2}{3} \div 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{2}{3} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{2}{3} \cdot \frac{1}{4}

Cross-cancel common factor:

2

2, 4

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

The prime factors common to

2, 4

are

= 2

= \frac{1}{3} \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 1}{3 \cdot 2}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{6}

= \frac{1}{6} \div 5 \div 6 \div 8

\frac{1}{6} \div 5 = \frac{1}{30}

\frac{1}{6} \div 5

Convert element to fraction:

5 = \frac{5}{1}

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

Apply the fraction rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Multiply the numbers:

6 \cdot 5 = 30

= \frac{1}{30}

= \frac{1}{30} \div 6 \div 8

\frac{1}{30} \div 6 = \frac{1}{180}

\frac{1}{30} \div 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{1}{30} \div \frac{6}{1}

Apply the fraction rule:

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

= \frac{1}{30} \cdot \frac{1}{6}

Multiply fractions:

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

= \frac{1 \cdot 1}{30 \cdot 6}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{30 \cdot 6}

Multiply the numbers:

30 \cdot 6 = 180

= \frac{1}{180}

= \frac{1}{180} \div 8

\frac{1}{180} \div 8 = \frac{1}{1440}

\frac{1}{180} \div 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{1}{180} \div \frac{8}{1}

Apply the fraction rule:

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

= \frac{1}{180} \cdot \frac{1}{8}

Multiply fractions:

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

= \frac{1 \cdot 1}{180 \cdot 8}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{180 \cdot 8}

Multiply the numbers:

180 \cdot 8 = 1440

= \frac{1}{1440}

= \frac{1}{1440}

Popular Examples

-10*12^2

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(3(-20+8))\div (1-2\times 5)

(3 (- 20 + 8)) \div (1 - 2 \times 5)

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- (- 2)^{2} - 4

+(3+4*2-6)*2(5-7)*2

+ (3 + 4 \cdot 2 - 6) \cdot 2 (5 - 7) \cdot 2

5(8)^2

5 (8)^{2}

Frequently Asked Questions (FAQ)

What is 2\div 3\div 4\div 5\div 6\div 8 ?
The solution to 2\div 3\div 4\div 5\div 6\div 8 is 1/1440