What is dectofrac 1.18 ?

The solution to dectofrac 1.18 is 1 9/50

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Convert to a Simplified Fraction 1.18

Solution

decimal to fraction

1.18

Solution

1 \frac{9}{50}

Solution steps

1.18

Rewrite as

= 1 + 0.18

Convert

0.18

to a fraction:

\frac{9}{50}

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}

= 1 + \frac{9}{50}

= 1 \frac{9}{50}

Popular Examples

Convert to a Mixed Number 67/12 mixed number

\frac{67}{12}

Divide Using Long Division 8÷3.2 long division

\frac{8}{3.2}

Find the GCF 12y-18 gcf

12 y - 18

Convert to a Mixed Number 39/4 mixed number

\frac{39}{4}

48/9 long division

\frac{48}{9}

Frequently Asked Questions (FAQ)

What is dectofrac 1.18 ?
The solution to dectofrac 1.18 is 1 9/50