What is dectofrac 0.66 ?

The solution to dectofrac 0.66 is 33/50

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Popular >

Convert to a Simplified Fraction 0.66

Solution

decimal to fraction

0.66

Solution

\frac{33}{50}

Solution steps

0.66

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{0.66 \cdot 100}{100}

= \frac{66}{100}

Reduce the fraction

\frac{66}{100} : \frac{33}{50}

\frac{66}{100}

Find a common factor of

66

and

100

in order to cancel it out

Greatest Common Divisor of

66, 100 : 2

66, 100

Greatest Common Divisor (GCD)

Prime factorization of

66 : 2 \cdot 3 \cdot 11

66

66

divides by

266 = 33 \cdot 2

= 2 \cdot 33

33

divides by

333 = 11 \cdot 3

= 2 \cdot 3 \cdot 11

2, 3, 11

are all prime numbers, therefore no further factorization is possible

= 2 \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

The prime factors common to

66, 100

are

= 2

Factor out

2

from the numerator and the denominator

66 = 2 \cdot 33, 100 = 2 \cdot 50

= \frac{2 \cdot 33}{2 \cdot 50}

Cancel the common factor:

2

= \frac{33}{50}

= \frac{33}{50}

Popular Examples

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ro u n d t o t h e n e a res t t e n t h 12

Multiply 42*42 long multiplication

42 \cdot 42

Convert to a Mixed Number 13/2 mixed number

\frac{13}{2}

Convert to a Simplified Fraction 0.77 decimal to fraction

0.77

50-14 long subtraction

50 - 14

Frequently Asked Questions (FAQ)

What is dectofrac 0.66 ?
The solution to dectofrac 0.66 is 33/50