What is dectofrac 3.0625 ?

The solution to dectofrac 3.0625 is 3 1/16

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Convert to a Simplified Fraction 3.0625

Solution

decimal to fraction

3.0625

Solution

3 \frac{1}{16}

Solution steps

3.0625

Rewrite as

= 3 + 0.0625

Convert

0.0625

to a fraction:

\frac{1}{16}

0.0625

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{0.0625 \cdot 10000}{10000}

= \frac{625}{10000}

Reduce the fraction

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

\frac{625}{10000}

Find a common factor of

625

and

10000

in order to cancel it out

Greatest Common Divisor of

625, 10000 : 625

625, 10000

Greatest Common Divisor (GCD)

Prime factorization of

625 : 5 \cdot 5 \cdot 5 \cdot 5

625

625

divides by

5625 = 125 \cdot 5

= 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 5

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

625, 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

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

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

Cancel the common factor:

625

= \frac{1}{16}

= \frac{1}{16}

= 3 + \frac{1}{16}

= 3 \frac{1}{16}

Popular Examples

Convert to a Simplified Fraction 0.79 decimal to fraction

0.79

Convert to a Simplified Fraction 0.0078125 decimal to fraction

0.0078125

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}

Frequently Asked Questions (FAQ)

What is dectofrac 3.0625 ?
The solution to dectofrac 3.0625 is 3 1/16