What is tofraction 5.33333 ?

The solution to tofraction 5.33333 is 5 33333/100000

Convert to a Simplified Fraction 5.33333

tofraction

5 \frac{33333}{100000}

Decimal

5.33333

Solution steps

5.33333

Rewrite as

= 5 + 0.33333

Convert

0.33333

to a fraction:

\frac{33333}{100000}

0.33333

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

There are

5

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

100000

= \frac{0.33333 \cdot 100000}{100000}

= \frac{33333}{100000}

Reduce the fraction

\frac{33333}{100000} : \frac{33333}{100000}

\frac{33333}{100000}

Find a common factor of

33333

and

100000

in order to cancel it out

Greatest Common Divisor of

33333, 100000 : 1

33333, 100000

Greatest Common Divisor (GCD)

Prime factorization of

33333 : 3 \cdot 41 \cdot 271

33333

33333

divides by

333333 = 11111 \cdot 3

= 3 \cdot 11111

11111

divides by

4111111 = 271 \cdot 41

= 3 \cdot 41 \cdot 271

3, 41, 271

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 41 \cdot 271

Prime factorization of

100000

No common factor for

33333

and

100000

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{33333}{100000}

= \frac{33333}{100000}

= 5 + \frac{33333}{100000}

= 5 \frac{33333}{100000}

What is tofraction 5.33333 ?
The solution to tofraction 5.33333 is 5 33333/100000