What is dectofrac 0.82 ?

The solution to dectofrac 0.82 is 41/50

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Popular >

Convert to a Simplified Fraction 0.82

Solution

decimal to fraction

0.82

Solution

\frac{41}{50}

Solution steps

0.82

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{0.82 \cdot 100}{100}

= \frac{82}{100}

Reduce the fraction

\frac{82}{100} : \frac{41}{50}

\frac{82}{100}

Find a common factor of

82

and

100

in order to cancel it out

Greatest Common Divisor of

82, 100 : 2

82, 100

Greatest Common Divisor (GCD)

Prime factorization of

82 : 2 \cdot 41

82

82

divides by

282 = 41 \cdot 2

= 2 \cdot 41

2, 41

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 41

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

82, 100

are

= 2

Factor out

2

from the numerator and the denominator

82 = 2 \cdot 41, 100 = 2 \cdot 50

= \frac{2 \cdot 41}{2 \cdot 50}

Cancel the common factor:

2

= \frac{41}{50}

= \frac{41}{50}

Popular Examples

Convert to a Percentage 11/40 convert

t o a p erce n t a g e 11/40

Convert to a Decimal 13/10 long division

\frac{13}{10}

Convert to an Improper Fraction 1 1/5 improper fraction

1 \frac{1}{5}

360÷9 long division

\frac{360}{9}

Convert to a Mixed Number 25/8 mixed number

\frac{25}{8}

Frequently Asked Questions (FAQ)

What is dectofrac 0.82 ?
The solution to dectofrac 0.82 is 41/50