What is tofraction 20.4 ?

The solution to tofraction 20.4 is 20 2/5

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Popular >

Convert to a Simplified Fraction 20.4

Solution

convert to fraction

20.4

Solution

20 \frac{2}{5}

Solution steps

20.4

Rewrite as

= 20 + 0.4

Convert

0.4

to a fraction:

\frac{2}{5}

0.4

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{0.4 \cdot 10}{10}

= \frac{4}{10}

Reduce the fraction

\frac{4}{10} : \frac{2}{5}

\frac{4}{10}

Find a common factor of

4

and

10

in order to cancel it out

Greatest Common Divisor of

4, 10 : 2

4, 10

Greatest Common Divisor (GCD)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

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

The prime factors common to

4, 10

are

= 2

Factor out

2

from the numerator and the denominator

4 = 2 \cdot 2, 10 = 2 \cdot 5

= \frac{2 \cdot 2}{2 \cdot 5}

Cancel the common factor:

2

= \frac{2}{5}

= \frac{2}{5}

= 20 + \frac{2}{5}

= 20 \frac{2}{5}

Popular Examples

Find the Possible Factors 360 positive factors of

360

Convert to a Mixed Number 85/6 mixed number

\frac{85}{6}

Convert to a Mixed Number 16/15 mixed number

\frac{16}{15}

Divide 24/6 long division

\frac{24}{6}

Multiply 12*30 long multiplication

12 \cdot 30

Frequently Asked Questions (FAQ)

What is tofraction 20.4 ?
The solution to tofraction 20.4 is 20 2/5