What is tofraction 0.3 ?

The solution to tofraction 0.3 is 3/10

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Convert to a Simplified Fraction 0.30

convert to fraction

0.3

\frac{3}{10}

Solution steps

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}

\frac{3}{8}

0.0001

13.5%

5.6%

32.5%