What is dectofrac 0.333 ?

The solution to dectofrac 0.333 is 333/1000

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Popular >

Convert to a Simplified Fraction 0.333

Solution

decimal to fraction

0.333

Solution

\frac{333}{1000}

Solution steps

0.333

Multiply and divide by 10 for every number after the decimal point.

There are

3

digits to the right of the decimal point, therefore multiply and divide by

1000

= \frac{0.333 \cdot 1000}{1000}

= \frac{333}{1000}

Reduce the fraction

\frac{333}{1000} : \frac{333}{1000}

\frac{333}{1000}

Find a common factor of

333

and

1000

in order to cancel it out

Greatest Common Divisor of

333, 1000 : 1

333, 1000

Greatest Common Divisor (GCD)

Prime factorization of

333 : 3 \cdot 3 \cdot 37

333

333

divides by

3333 = 111 \cdot 3

= 3 \cdot 111

111

divides by

3111 = 37 \cdot 3

= 3 \cdot 3 \cdot 37

3, 37

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 37

Prime factorization of

1000 : 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

1000

1000

divides by

21000 = 500 \cdot 2

= 2 \cdot 500

500

divides by

2500 = 250 \cdot 2

= 2 \cdot 2 \cdot 250

250

divides by

2250 = 125 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

No common factor for

333

and

1000

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{333}{1000}

= \frac{333}{1000}

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Frequently Asked Questions (FAQ)

What is dectofrac 0.333 ?
The solution to dectofrac 0.333 is 333/1000