What is dectofrac 13.3333 ?

The solution to dectofrac 13.3333 is 13 3333/10000

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Convert to a Simplified Fraction 13.3333

Solution

decimal to fraction

13.3333

Solution

13 \frac{3333}{10000}

Solution steps

13.3333

Rewrite as

= 13 + 0.3333

Convert

0.3333

to a fraction:

\frac{3333}{10000}

0.3333

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

There are

4

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

10000

= \frac{0.3333 \cdot 10000}{10000}

= \frac{3333}{10000}

Reduce the fraction

\frac{3333}{10000} : \frac{3333}{10000}

\frac{3333}{10000}

Find a common factor of

3333

and

10000

in order to cancel it out

Greatest Common Divisor of

3333, 10000 : 1

3333, 10000

Greatest Common Divisor (GCD)

Prime factorization of

3333 : 3 \cdot 11 \cdot 101

3333

3333

divides by

33333 = 1111 \cdot 3

= 3 \cdot 1111

1111

divides by

111111 = 101 \cdot 11

= 3 \cdot 11 \cdot 101

3, 11, 101

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 11 \cdot 101

Prime factorization of

10000 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

10000

10000

divides by

210000 = 5000 \cdot 2

= 2 \cdot 5000

5000

divides by

25000 = 2500 \cdot 2

= 2 \cdot 2 \cdot 2500

2500

divides by

22500 = 1250 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 1250

1250

divides by

21250 = 625 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

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

25

divides by

525 = 5 \cdot 5

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

2, 5

are all prime numbers, therefore no further factorization is possible

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

No common factor for

3333

and

10000

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{3333}{10000}

= \frac{3333}{10000}

= 13 + \frac{3333}{10000}

= 13 \frac{3333}{10000}

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2.125

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73/100 \cdot (- 2/7)

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Frequently Asked Questions (FAQ)

What is dectofrac 13.3333 ?
The solution to dectofrac 13.3333 is 13 3333/10000