What is dectofrac 0.8125 ?

The solution to dectofrac 0.8125 is 13/16

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Popular >

Convert to a Simplified Fraction 0.8125

Solution

decimal to fraction

0.8125

Solution

\frac{13}{16}

Solution steps

0.8125

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{0.8125 \cdot 10000}{10000}

= \frac{8125}{10000}

Reduce the fraction

\frac{8125}{10000} : \frac{13}{16}

\frac{8125}{10000}

Find a common factor of

8125

and

10000

in order to cancel it out

Greatest Common Divisor of

8125, 10000 : 625

8125, 10000

Greatest Common Divisor (GCD)

Prime factorization of

8125 : 5 \cdot 5 \cdot 5 \cdot 5 \cdot 13

8125

8125

divides by

58125 = 1625 \cdot 5

= 5 \cdot 1625

1625

divides by

51625 = 325 \cdot 5

= 5 \cdot 5 \cdot 325

325

divides by

5325 = 65 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 65

65

divides by

565 = 13 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 5 \cdot 13

5, 13

are all prime numbers, therefore no further factorization is possible

= 5 \cdot 5 \cdot 5 \cdot 5 \cdot 13

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

8125, 10000

are

= 5 \cdot 5 \cdot 5 \cdot 5

Multiply the numbers:

5 \cdot 5 \cdot 5 \cdot 5 = 625

= 625

Factor out

625

from the numerator and the denominator

8125 = 625 \cdot 13, 10000 = 625 \cdot 16

= \frac{625 \cdot 13}{625 \cdot 16}

Cancel the common factor:

625

= \frac{13}{16}

= \frac{13}{16}

Popular Examples

Convert to a Percentage 15/20 convert

t o a p erce n t a g e 15/20

Find the GCF 24 40 gcf

24, 40

Find the GCF 18 , 27 , 36 gcf

18, 27, 36

56/2 long division

\frac{56}{2}

400/5 long division

\frac{400}{5}

Frequently Asked Questions (FAQ)

What is dectofrac 0.8125 ?
The solution to dectofrac 0.8125 is 13/16