What is dectofrac 6.6 ?

The solution to dectofrac 6.6 is 6 3/5

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 6.6

Solution

decimal to fraction

6.6

Solution

6 \frac{3}{5}

Solution steps

6.6

Rewrite as

= 6 + 0.6

Convert

0.6

to a fraction:

\frac{3}{5}

0.6

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{0.6 \cdot 10}{10}

= \frac{6}{10}

Reduce the fraction

\frac{6}{10} : \frac{3}{5}

\frac{6}{10}

Find a common factor of

6

and

10

in order to cancel it out

Greatest Common Divisor of

6, 10 : 2

6, 10

Greatest Common Divisor (GCD)

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 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

The prime factors common to

6, 10

are

= 2

Factor out

2

from the numerator and the denominator

6 = 2 \cdot 3, 10 = 2 \cdot 5

= \frac{2 \cdot 3}{2 \cdot 5}

Cancel the common factor:

2

= \frac{3}{5}

= \frac{3}{5}

= 6 + \frac{3}{5}

= 6 \frac{3}{5}

Popular Examples

Convert to a Mixed Number 22/3 mixed number

\frac{22}{3}

Convert to a Mixed Number 21/2 mixed number

\frac{21}{2}

Subtract 180-37 long subtraction

180 - 37

Convert to a Mixed Number 29/4 mixed number

\frac{29}{4}

Reduce the Fraction 42/60 reduce fraction

t h e \frac{42}{60}

Frequently Asked Questions (FAQ)

What is dectofrac 6.6 ?
The solution to dectofrac 6.6 is 6 3/5