What is tofraction 0.13 ?

The solution to tofraction 0.13 is 13/100

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Convert to a Simplified Fraction 0.13

convert to fraction

0.13

\frac{13}{100}

Solution steps

0.13

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{0.13 \cdot 100}{100}

= \frac{13}{100}

Reduce the fraction

\frac{13}{100} : \frac{13}{100}

\frac{13}{100}

Find a common factor of

13

and

100

in order to cancel it out

Greatest Common Divisor of

13, 100 : 1

13, 100

Greatest Common Divisor (GCD)

Prime factorization of

13 : 13

13

13

is a prime number, therefore no factorization is possible

= 13

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

13

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{13}{100}

= \frac{13}{100}

15.4

3.33333333

0.027

t h e \frac{54}{72}

4.75