What is dectofrac 0.62 ?

The solution to dectofrac 0.62 is 31/50

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Popular >

Convert to a Simplified Fraction 0.62

Solution

decimal to fraction

0.62

Solution

\frac{31}{50}

Solution steps

0.62

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{0.62 \cdot 100}{100}

= \frac{62}{100}

Reduce the fraction

\frac{62}{100} : \frac{31}{50}

\frac{62}{100}

Find a common factor of

62

and

100

in order to cancel it out

Greatest Common Divisor of

62, 100 : 2

62, 100

Greatest Common Divisor (GCD)

Prime factorization of

62 : 2 \cdot 31

62

62

divides by

262 = 31 \cdot 2

= 2 \cdot 31

2, 31

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 31

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

62, 100

are

= 2

Factor out

2

from the numerator and the denominator

62 = 2 \cdot 31, 100 = 2 \cdot 50

= \frac{2 \cdot 31}{2 \cdot 50}

Cancel the common factor:

2

= \frac{31}{50}

= \frac{31}{50}

Popular Examples

Convert to a Mixed Number 39/8 mixed number

\frac{39}{8}

Find the Possible Factors 154 positive factors of

154

Divide 200/25 long division

\frac{200}{25}

Convert to a Percentage 5/13 convert

t o a p erce n t a g e 5/13

Convert to a Mixed Number 51/4 mixed number

\frac{51}{4}

Frequently Asked Questions (FAQ)

What is dectofrac 0.62 ?
The solution to dectofrac 0.62 is 31/50