What is dectofrac 0.09 ?

The solution to dectofrac 0.09 is 9/100

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Convert to a Simplified Fraction 0.09

decimal to fraction

0.09

\frac{9}{100}

Solution steps

0.09

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{0.09 \cdot 100}{100}

= \frac{9}{100}

Reduce the fraction

\frac{9}{100} : \frac{9}{100}

\frac{9}{100}

Find a common factor of

9

and

100

in order to cancel it out

Greatest Common Divisor of

9, 100 : 1

9, 100

Greatest Common Divisor (GCD)

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 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

No common factor for

9

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{9}{100}

= \frac{9}{100}

t h e \frac{200}{180}

\frac{4.5}{5}

12, 28, 24

180 - 52

0.11