What is dectofrac 33.33 ?

The solution to dectofrac 33.33 is 33 33/100

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Convert to a Simplified Fraction 33.33

Solution

decimal to fraction

33.33

Solution

33 \frac{33}{100}

Solution steps

33.33

Rewrite as

= 33 + 0.33

Convert

0.33

to a fraction:

\frac{33}{100}

0.33

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{0.33 \cdot 100}{100}

= \frac{33}{100}

Reduce the fraction

\frac{33}{100} : \frac{33}{100}

\frac{33}{100}

Find a common factor of

33

and

100

in order to cancel it out

Greatest Common Divisor of

33, 100 : 1

33, 100

Greatest Common Divisor (GCD)

Prime factorization of

33 : 3 \cdot 11

33

33

divides by

333 = 11 \cdot 3

= 3 \cdot 11

3, 11

are all prime numbers, therefore no further factorization is possible

= 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

33

and

100

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{33}{100}

= \frac{33}{100}

= 33 + \frac{33}{100}

= 33 \frac{33}{100}

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Frequently Asked Questions (FAQ)

What is dectofrac 33.33 ?
The solution to dectofrac 33.33 is 33 33/100