What is 50000\div 9000\div 168750 ?

The solution to 50000\div 9000\div 168750 is 1/30375

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Popular >

50000\div 9000\div 168750

Solution

50000 \div 9000 \div 168750

Solution

\frac{1}{30375}

Solution steps

50000 \div 9000 \div 168750

Follow the PEMDAS order of operations

Multiply and divide (left to right)

50000 \div 9000 = \frac{50000}{9000}

= \frac{50000}{9000} \div 168750

\frac{50000}{9000} \div 168750 = \frac{1}{30375}

\frac{50000}{9000} \div 168750

Convert element to fraction:

168750 = \frac{168750}{1}

= \frac{50000}{9000} \div \frac{168750}{1}

Apply the fraction rule:

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

= \frac{50000}{9000} \cdot \frac{1}{168750}

Cross-cancel common factor:

6250

50000, 168750

Greatest Common Divisor (GCD)

Prime factorization of

50000 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

50000

50000

divides by

250000 = 25000 \cdot 2

= 2 \cdot 25000

25000

divides by

225000 = 12500 \cdot 2

= 2 \cdot 2 \cdot 12500

12500

divides by

212500 = 6250 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 6250

6250

divides by

26250 = 3125 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3125

3125

divides by

53125 = 625 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

Prime factorization of

168750

The prime factors common to

50000, 168750

are

= 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

Multiply the numbers:

2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 6250

= 6250

= \frac{8}{9000} \cdot \frac{1}{27}

Multiply fractions:

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

= \frac{8 \cdot 1}{9000 \cdot 27}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{8}{9000 \cdot 27}

Multiply the numbers:

9000 \cdot 27 = 243000

= \frac{8}{243000}

Cancel the common factor:

8

= \frac{1}{30375}

= \frac{1}{30375}

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Frequently Asked Questions (FAQ)

What is 50000\div 9000\div 168750 ?
The solution to 50000\div 9000\div 168750 is 1/30375