What is dectofrac 0.6667 ?

The solution to dectofrac 0.6667 is 6667/10000

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 0.6667

Solution

decimal to fraction

0.6667

Solution

\frac{6667}{10000}

Solution steps

0.6667

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

There are

4

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

10000

= \frac{0.6667 \cdot 10000}{10000}

= \frac{6667}{10000}

Reduce the fraction

\frac{6667}{10000} : \frac{6667}{10000}

\frac{6667}{10000}

Find a common factor of

6667

and

10000

in order to cancel it out

Greatest Common Divisor of

6667, 10000 : 1

6667, 10000

Greatest Common Divisor (GCD)

Prime factorization of

6667 : 59 \cdot 113

6667

6667

divides by

596667 = 113 \cdot 59

= 59 \cdot 113

59, 113

are all prime numbers, therefore no further factorization is possible

= 59 \cdot 113

Prime factorization of

10000 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

10000

10000

divides by

210000 = 5000 \cdot 2

= 2 \cdot 5000

5000

divides by

25000 = 2500 \cdot 2

= 2 \cdot 2 \cdot 2500

2500

divides by

22500 = 1250 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 1250

1250

divides by

21250 = 625 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

No common factor for

6667

and

10000

therefore the GCD is 1

= 1

The GCD is 1, therefore the fraction cannot be simplified

= \frac{6667}{10000}

= \frac{6667}{10000}

Popular Examples

Reduce the Fraction 9/32 reduce fraction

t h e \frac{9}{32}

40/9 long division

\frac{40}{9}

(11/12)÷(11/12)

(11/12) / (11/12)

Convert to a Simplified Fraction 1.7 decimal to fraction

1.7

Reduce the Fraction 24/40 reduce fraction

t h e \frac{24}{40}

Frequently Asked Questions (FAQ)

What is dectofrac 0.6667 ?
The solution to dectofrac 0.6667 is 6667/10000