What is dectofrac 0.006 ?

The solution to dectofrac 0.006 is 3/500

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Popular >

Convert to a Simplified Fraction 0.006

Solution

decimal to fraction

0.006

Solution

\frac{3}{500}

Solution steps

0.006

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{0.006 \cdot 1000}{1000}

= \frac{6}{1000}

Reduce the fraction

\frac{6}{1000} : \frac{3}{500}

\frac{6}{1000}

Find a common factor of

6

and

1000

in order to cancel it out

Greatest Common Divisor of

6, 1000 : 2

6, 1000

Greatest Common Divisor (GCD)

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

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

6, 1000

are

= 2

Factor out

2

from the numerator and the denominator

6 = 2 \cdot 3, 1000 = 2 \cdot 500

= \frac{2 \cdot 3}{2 \cdot 500}

Cancel the common factor:

2

= \frac{3}{500}

= \frac{3}{500}

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1 \frac{7}{9} / (4/5)

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(7/6) / (2/3)

Convert to an Improper Fraction 2.5 improper fraction

2.5

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t o a p erce n t a g e 1/15

Frequently Asked Questions (FAQ)

What is dectofrac 0.006 ?
The solution to dectofrac 0.006 is 3/500