What is tofraction 0.03125 ?

The solution to tofraction 0.03125 is 1/32

Convert to a Simplified Fraction 0.03125

tofraction

\frac{1}{32}

Decimal

0.03125

Solution steps

0.03125

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

There are

5

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

100000

= \frac{0.03125 \cdot 100000}{100000}

= \frac{3125}{100000}

Reduce the fraction

\frac{3125}{100000} : \frac{1}{32}

\frac{3125}{100000}

Find a common factor of

3125

and

100000

in order to cancel it out

Greatest Common Divisor of

3125, 100000 : 3125

3125, 100000

Greatest Common Divisor (GCD)

Prime factorization of

3125 : 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

3125

3125

divides by

53125 = 625 \cdot 5

= 5 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 5 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

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

Prime factorization of

100000

The prime factors common to

3125, 100000

are

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

Multiply the numbers:

5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 3125

= 3125

Factor out

3125

from the numerator and the denominator

3125 = 3125 \cdot 1, 100000 = 3125 \cdot 32

= \frac{3125 \cdot 1}{3125 \cdot 32}

Cancel the common factor:

3125

= \frac{1}{32}

= \frac{1}{32}