What is dectofrac 8.3 ?

The solution to dectofrac 8.3 is 8 3/10

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Popular >

Convert to a Simplified Fraction 8.3

Solution

decimal to fraction

8.3

Solution

8 \frac{3}{10}

Solution steps

8.3

Rewrite as

= 8 + 0.3

Convert

0.3

to a fraction:

\frac{3}{10}

0.3

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

There is

1

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

10

= \frac{0.3 \cdot 10}{10}

= \frac{3}{10}

Reduce the fraction

\frac{3}{10} : \frac{3}{10}

\frac{3}{10}

Find a common factor of

3

and

10

in order to cancel it out

Greatest Common Divisor of

3, 10 : 1

3, 10

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

No common factor for

3

and

10

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{3}{10}

= \frac{3}{10}

= 8 + \frac{3}{10}

= 8 \frac{3}{10}

Popular Examples

Convert to a Mixed Number 29/12 mixed number

\frac{29}{12}

64/5 long division

\frac{64}{5}

Convert to a Mixed Number 23/2 mixed number

\frac{23}{2}

Convert to a Simplified Fraction -1.55 decimal to fraction

- 1.55

44/8 long division

\frac{44}{8}

Frequently Asked Questions (FAQ)

What is dectofrac 8.3 ?
The solution to dectofrac 8.3 is 8 3/10