What is dectofrac 0.0078125 ?

The solution to dectofrac 0.0078125 is 1/128

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Popular >

Convert to a Simplified Fraction 0.0078125

Solution

decimal to fraction

0.0078125

Solution

\frac{1}{128}

Solution steps

0.0078125

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

There are

7

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

10000000

= \frac{0.0078125 \cdot 10000000}{10000000}

= \frac{78125}{10000000}

Reduce the fraction

\frac{78125}{10000000} : \frac{1}{128}

\frac{78125}{10000000}

Find a common factor of

78125

and

10000000

in order to cancel it out

Greatest Common Divisor of

78125, 10000000 : 78125

78125, 10000000

Greatest Common Divisor (GCD)

Prime factorization of

78125 : 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

78125

78125

divides by

578125 = 15625 \cdot 5

= 5 \cdot 15625

15625

divides by

515625 = 3125 \cdot 5

= 5 \cdot 5 \cdot 3125

3125

divides by

53125 = 625 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 625

625

divides by

5625 = 125 \cdot 5

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

125

divides by

5125 = 25 \cdot 5

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

25

divides by

525 = 5 \cdot 5

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

Prime factorization of

10000000

The prime factors common to

78125, 10000000

are

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

Multiply the numbers:

5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 78125

= 78125

Factor out

78125

from the numerator and the denominator

78125 = 78125 \cdot 1, 10000000 = 78125 \cdot 128

= \frac{78125 \cdot 1}{78125 \cdot 128}

Cancel the common factor:

78125

= \frac{1}{128}

= \frac{1}{128}

Popular Examples

Find the GCF 26 , 39 gcf

26, 39

5(90)+125

5 (90) + 125

Convert to a Mixed Number 17/20 mixed number

\frac{17}{20}

Convert to a Mixed Number 360/5 mixed number

360/5

31/2 long division

\frac{31}{2}

Frequently Asked Questions (FAQ)

What is dectofrac 0.0078125 ?
The solution to dectofrac 0.0078125 is 1/128