What is dectofrac 0.0016 ?

The solution to dectofrac 0.0016 is 1/625

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Popular >

Convert to a Simplified Fraction 0.0016

Solution

decimal to fraction

0.0016

Solution

\frac{1}{625}

Solution steps

0.0016

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

There are

4

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

10000

= \frac{0.0016 \cdot 10000}{10000}

= \frac{16}{10000}

Reduce the fraction

\frac{16}{10000} : \frac{1}{625}

\frac{16}{10000}

Find a common factor of

16

and

10000

in order to cancel it out

Greatest Common Divisor of

16, 10000 : 16

16, 10000

Greatest Common Divisor (GCD)

Prime factorization of

16 : 2 \cdot 2 \cdot 2 \cdot 2

16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2

Prime factorization of

10000 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

10000

10000

divides by

210000 = 5000 \cdot 2

= 2 \cdot 5000

5000

divides by

25000 = 2500 \cdot 2

= 2 \cdot 2 \cdot 2500

2500

divides by

22500 = 1250 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 1250

1250

divides by

21250 = 625 \cdot 2

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

625

divides by

5625 = 125 \cdot 5

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

125

divides by

5125 = 25 \cdot 5

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

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

The prime factors common to

16, 10000

are

= 2 \cdot 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 2 = 16

= 16

Factor out

16

from the numerator and the denominator

16 = 16 \cdot 1, 10000 = 16 \cdot 625

= \frac{16 \cdot 1}{16 \cdot 625}

Cancel the common factor:

16

= \frac{1}{625}

= \frac{1}{625}

Popular Examples

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2 \frac{6}{7}

Find the GCF 16 , 28 gcf

16, 28

1500/4 long division

\frac{1500}{4}

Convert to a Percentage 37/50 convert

t o a p erce n t a g e 37/50

120/6 long division

\frac{120}{6}

Frequently Asked Questions (FAQ)

What is dectofrac 0.0016 ?
The solution to dectofrac 0.0016 is 1/625