What is dectofrac 0.99 ?

The solution to dectofrac 0.99 is 99/100

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Popular >

Convert to a Simplified Fraction 0.99

Solution

decimal to fraction

0.99

Solution

\frac{99}{100}

Solution steps

0.99

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{0.99 \cdot 100}{100}

= \frac{99}{100}

Reduce the fraction

\frac{99}{100} : \frac{99}{100}

\frac{99}{100}

Find a common factor of

99

and

100

in order to cancel it out

Greatest Common Divisor of

99, 100 : 1

99, 100

Greatest Common Divisor (GCD)

Prime factorization of

99 : 3 \cdot 3 \cdot 11

99

99

divides by

399 = 33 \cdot 3

= 3 \cdot 33

33

divides by

333 = 11 \cdot 3

= 3 \cdot 3 \cdot 11

3, 11

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 11

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

99

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{99}{100}

= \frac{99}{100}

Popular Examples

Reduce the Fraction 6/42 reduce fraction

t h e \frac{6}{42}

Find the GCF 44 , 12 , 28 gcf

44, 12, 28

65/3 long division

\frac{65}{3}

28/12 long division

\frac{28}{12}

21*15 long multiplication

21 \cdot 15

Frequently Asked Questions (FAQ)

What is dectofrac 0.99 ?
The solution to dectofrac 0.99 is 99/100