What is dectofrac 0.14 ?

The solution to dectofrac 0.14 is 7/50

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 0.14

Solution

decimal to fraction

0.14

Solution

\frac{7}{50}

Solution steps

0.14

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{0.14 \cdot 100}{100}

= \frac{14}{100}

Reduce the fraction

\frac{14}{100} : \frac{7}{50}

\frac{14}{100}

Find a common factor of

14

and

100

in order to cancel it out

Greatest Common Divisor of

14, 100 : 2

14, 100

Greatest Common Divisor (GCD)

Prime factorization of

14 : 2 \cdot 7

14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 7

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

14, 100

are

= 2

Factor out

2

from the numerator and the denominator

14 = 2 \cdot 7, 100 = 2 \cdot 50

= \frac{2 \cdot 7}{2 \cdot 50}

Cancel the common factor:

2

= \frac{7}{50}

= \frac{7}{50}

Popular Examples

Convert to a Mixed Number 31/12 mixed number

\frac{31}{12}

Convert to a Simplified Fraction 0.675 decimal to fraction

0.675

Divide 256/32 long division

\frac{256}{32}

75-40 long subtraction

75 - 40

162/3 long division

\frac{162}{3}

Frequently Asked Questions (FAQ)

What is dectofrac 0.14 ?
The solution to dectofrac 0.14 is 7/50