What is tofraction 0.002 ?

The solution to tofraction 0.002 is 1/500

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Popular >

Convert to a Simplified Fraction 0.002

Solution

convert to fraction

0.002

Solution

\frac{1}{500}

Solution steps

0.002

Multiply and divide by 10 for every number after the decimal point.

There are

3

digits to the right of the decimal point, therefore multiply and divide by

1000

= \frac{0.002 \cdot 1000}{1000}

= \frac{2}{1000}

Reduce the fraction

\frac{2}{1000} : \frac{1}{500}

\frac{2}{1000}

Find a common factor of

2

and

1000

in order to cancel it out

Greatest Common Divisor of

2, 1000 : 2

2, 1000

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

1000 : 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

1000

1000

divides by

21000 = 500 \cdot 2

= 2 \cdot 500

500

divides by

2500 = 250 \cdot 2

= 2 \cdot 2 \cdot 250

250

divides by

2250 = 125 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 125

125

divides by

5125 = 25 \cdot 5

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

25

divides by

525 = 5 \cdot 5

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

2, 5

are all prime numbers, therefore no further factorization is possible

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

The prime factors common to

2, 1000

are

= 2

Factor out

2

from the numerator and the denominator

2 = 2 \cdot 1, 1000 = 2 \cdot 500

= \frac{2 \cdot 1}{2 \cdot 500}

Cancel the common factor:

2

= \frac{1}{500}

= \frac{1}{500}

Popular Examples

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109

Find the GCF 36 , 72 , 90 gcf

36, 72, 90

Simplify 20 3/4÷(1/6)

20 \frac{3}{4} / (1/6)

Convert to a Mixed Number 31/9 mixed number

\frac{31}{9}

Evaluate (1/2)/8

(1/2) /8

Frequently Asked Questions (FAQ)

What is tofraction 0.002 ?
The solution to tofraction 0.002 is 1/500