What is dectofrac 0.012 ?

The solution to dectofrac 0.012 is 3/250

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Popular >

Convert to a Simplified Fraction 0.012

Solution

decimal to fraction

0.012

Solution

\frac{3}{250}

Solution steps

0.012

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{0.012 \cdot 1000}{1000}

= \frac{12}{1000}

Reduce the fraction

\frac{12}{1000} : \frac{3}{250}

\frac{12}{1000}

Find a common factor of

12

and

1000

in order to cancel it out

Greatest Common Divisor of

12, 1000 : 4

12, 1000

Greatest Common Divisor (GCD)

Prime factorization of

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 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

12, 1000

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

12 = 4 \cdot 3, 1000 = 4 \cdot 250

= \frac{4 \cdot 3}{4 \cdot 250}

Cancel the common factor:

4

= \frac{3}{250}

= \frac{3}{250}

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Frequently Asked Questions (FAQ)

What is dectofrac 0.012 ?
The solution to dectofrac 0.012 is 3/250