What is dectofrac 2.83 ?

The solution to dectofrac 2.83 is 2 83/100

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Popular >

Convert to a Simplified Fraction 2.83

Solution

decimal to fraction

2.83

Solution

2 \frac{83}{100}

Solution steps

2.83

Rewrite as

= 2 + 0.83

Convert

0.83

to a fraction:

\frac{83}{100}

0.83

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{0.83 \cdot 100}{100}

= \frac{83}{100}

Reduce the fraction

\frac{83}{100} : \frac{83}{100}

\frac{83}{100}

Find a common factor of

83

and

100

in order to cancel it out

Greatest Common Divisor of

83, 100 : 1

83, 100

Greatest Common Divisor (GCD)

Prime factorization of

83 : 83

83

83

is a prime number, therefore no factorization is possible

= 83

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

83

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{83}{100}

= \frac{83}{100}

= 2 + \frac{83}{100}

= 2 \frac{83}{100}

Popular Examples

Convert to a Mixed Number 49/6 mixed number

\frac{49}{6}

Convert to an Improper Fraction 1 2/3 improper fraction

1 \frac{2}{3}

(1/2)/4

(1/2) /4

Find the Possible Factors 189 positive factors of

189

12/35

\frac{12}{35}

Frequently Asked Questions (FAQ)

What is dectofrac 2.83 ?
The solution to dectofrac 2.83 is 2 83/100