What is tofraction 0.65 ?

The solution to tofraction 0.65 is 13/20

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Popular >

Convert to a Simplified Fraction 0.65

Solution

convert to fraction

0.65

Solution

\frac{13}{20}

Solution steps

0.65

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{0.65 \cdot 100}{100}

= \frac{65}{100}

Reduce the fraction

\frac{65}{100} : \frac{13}{20}

\frac{65}{100}

Find a common factor of

65

and

100

in order to cancel it out

Greatest Common Divisor of

65, 100 : 5

65, 100

Greatest Common Divisor (GCD)

Prime factorization of

65 : 5 \cdot 13

65

65

divides by

565 = 13 \cdot 5

= 5 \cdot 13

5, 13

are all prime numbers, therefore no further factorization is possible

= 5 \cdot 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

The prime factors common to

65, 100

are

= 5

Factor out

5

from the numerator and the denominator

65 = 5 \cdot 13, 100 = 5 \cdot 20

= \frac{5 \cdot 13}{5 \cdot 20}

Cancel the common factor:

5

= \frac{13}{20}

= \frac{13}{20}

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Frequently Asked Questions (FAQ)

What is tofraction 0.65 ?
The solution to tofraction 0.65 is 13/20