What is tofraction 0.00032 ?

The solution to tofraction 0.00032 is 1/3125

Convert to a Simplified Fraction 0.00032

tofraction

\frac{1}{3125}

Decimal

0.00032

Solution steps

0.00032

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{0.00032 \cdot 100000}{100000}

= \frac{32}{100000}

Reduce the fraction

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

\frac{32}{100000}

Find a common factor of

32

and

100000

in order to cancel it out

Greatest Common Divisor of

32, 100000 : 32

32, 100000

Greatest Common Divisor (GCD)

Prime factorization of

32 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

32

32

divides by

232 = 16 \cdot 2

= 2 \cdot 16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

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

Prime factorization of

100000

The prime factors common to

32, 100000

are

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

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32

= 32

Factor out

32

from the numerator and the denominator

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

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

Cancel the common factor:

32

= \frac{1}{3125}

= \frac{1}{3125}