What is dectofrac 0.26 ?

The solution to dectofrac 0.26 is 13/50

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Popular >

Convert to a Simplified Fraction 0.26

Solution

decimal to fraction

0.26

Solution

\frac{13}{50}

Solution steps

0.26

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{0.26 \cdot 100}{100}

= \frac{26}{100}

Reduce the fraction

\frac{26}{100} : \frac{13}{50}

\frac{26}{100}

Find a common factor of

26

and

100

in order to cancel it out

Greatest Common Divisor of

26, 100 : 2

26, 100

Greatest Common Divisor (GCD)

Prime factorization of

26 : 2 \cdot 13

26

26

divides by

226 = 13 \cdot 2

= 2 \cdot 13

2, 13

are all prime numbers, therefore no further factorization is possible

= 2 \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

26, 100

are

= 2

Factor out

2

from the numerator and the denominator

26 = 2 \cdot 13, 100 = 2 \cdot 50

= \frac{2 \cdot 13}{2 \cdot 50}

Cancel the common factor:

2

= \frac{13}{50}

= \frac{13}{50}

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\frac{15}{10}

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\frac{37}{100}

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2.5 \cdot 6.5

Frequently Asked Questions (FAQ)

What is dectofrac 0.26 ?
The solution to dectofrac 0.26 is 13/50