What is tofraction 0.18 ?

The solution to tofraction 0.18 is 9/50

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Popular >

Convert to a Simplified Fraction 0.18

Solution

convert to fraction

0.18

Solution

\frac{9}{50}

Solution steps

0.18

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

There are

2

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

100

= \frac{0.18 \cdot 100}{100}

= \frac{18}{100}

Reduce the fraction

\frac{18}{100} : \frac{9}{50}

\frac{18}{100}

Find a common factor of

18

and

100

in order to cancel it out

Greatest Common Divisor of

18, 100 : 2

18, 100

Greatest Common Divisor (GCD)

Prime factorization of

18 : 2 \cdot 3 \cdot 3

18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

The prime factors common to

18, 100

are

= 2

Factor out

2

from the numerator and the denominator

18 = 2 \cdot 9, 100 = 2 \cdot 50

= \frac{2 \cdot 9}{2 \cdot 50}

Cancel the common factor:

2

= \frac{9}{50}

= \frac{9}{50}

Popular Examples

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45 - 28

Convert to an Improper Fraction 3 4/7 improper fraction

3 \frac{4}{7}

Convert to a Mixed Number 41/7 mixed number

\frac{41}{7}

Reduce the Fraction 260/360 reduce fraction

t h e \frac{260}{360}

Convert to a Percentage 21/40 convert

t o a p erce n t a g e 21/40

Frequently Asked Questions (FAQ)

What is tofraction 0.18 ?
The solution to tofraction 0.18 is 9/50