What is dectofrac 0.36 ?

The solution to dectofrac 0.36 is 9/25

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Popular >

dectofrac 0.36

Solution

decimal to fraction

0.36

Solution

\frac{9}{25}

Solution steps

0.36

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

There are

2

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

100

= \frac{0.36 \cdot 100}{100}

= \frac{36}{100}

Reduce the fraction

\frac{36}{100} : \frac{9}{25}

\frac{36}{100}

Find a common factor of

36

and

100

in order to cancel it out

Greatest Common Divisor of

36, 100 : 4

36, 100

Greatest Common Divisor (GCD)

Prime factorization of

36 : 2 \cdot 2 \cdot 3 \cdot 3

36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

The prime factors common to

36, 100

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

36 = 4 \cdot 9, 100 = 4 \cdot 25

= \frac{4 \cdot 9}{4 \cdot 25}

Cancel the common factor:

4

= \frac{9}{25}

= \frac{9}{25}

Popular Examples

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\frac{120}{15}

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\frac{0.3}{0.5}

longmult 25*16 long multiplication

25 \cdot 16

(0)^2+2

(0)^{2} + 2

longmult 324.45*98.4 long multiplication

324.45 \cdot 98.4

Frequently Asked Questions (FAQ)

What is dectofrac 0.36 ?
The solution to dectofrac 0.36 is 9/25