What is dectofrac 0.8333 ?

The solution to dectofrac 0.8333 is 8333/10000

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Popular >

Convert to a Simplified Fraction 0.8333

Solution

decimal to fraction

0.8333

Solution

\frac{8333}{10000}

Solution steps

0.8333

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{0.8333 \cdot 10000}{10000}

= \frac{8333}{10000}

Reduce the fraction

\frac{8333}{10000} : \frac{8333}{10000}

\frac{8333}{10000}

Find a common factor of

8333

and

10000

in order to cancel it out

Greatest Common Divisor of

8333, 10000 : 1

8333, 10000

Greatest Common Divisor (GCD)

Prime factorization of

8333 : 13 \cdot 641

8333

8333

divides by

138333 = 641 \cdot 13

= 13 \cdot 641

13, 641

are all prime numbers, therefore no further factorization is possible

= 13 \cdot 641

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

8333

and

10000

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{8333}{10000}

= \frac{8333}{10000}

Popular Examples

96/4 long division

\frac{96}{4}

Divide 160/16 long division

\frac{160}{16}

Convert to a Mixed Number 33/5 mixed number

\frac{33}{5}

Convert to a Percentage 65/100 convert

t o a p erce n t a g e 65/100

Convert to a Simplified Fraction 5.3333333 decimal to fraction

5.3333333

Frequently Asked Questions (FAQ)

What is dectofrac 0.8333 ?
The solution to dectofrac 0.8333 is 8333/10000