What is dectofrac-0.625 ?

The solution to dectofrac-0.625 is -5/8

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 -0.625

Solution

decimal to fraction

- 0.625

Solution

- \frac{5}{8}

Solution steps

- 0.625

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

There are

3

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

1000

= - \frac{0.625 \cdot 1000}{1000}

= - \frac{625}{1000}

Reduce the fraction

\frac{625}{1000} : \frac{5}{8}

\frac{625}{1000}

Find a common factor of

625

and

1000

in order to cancel it out

Greatest Common Divisor of

625, 1000 : 125

625, 1000

Greatest Common Divisor (GCD)

Prime factorization of

625 : 5 \cdot 5 \cdot 5 \cdot 5

625

625

divides by

5625 = 125 \cdot 5

= 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 5 \cdot 5 \cdot 5 \cdot 5

Prime factorization of

1000 : 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5

1000

1000

divides by

21000 = 500 \cdot 2

= 2 \cdot 500

500

divides by

2500 = 250 \cdot 2

= 2 \cdot 2 \cdot 250

250

divides by

2250 = 125 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 125

125

divides by

5125 = 25 \cdot 5

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

25

divides by

525 = 5 \cdot 5

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

2, 5

are all prime numbers, therefore no further factorization is possible

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

The prime factors common to

625, 1000

are

= 5 \cdot 5 \cdot 5

Multiply the numbers:

5 \cdot 5 \cdot 5 = 125

= 125

Factor out

125

from the numerator and the denominator

625 = 125 \cdot 5, 1000 = 125 \cdot 8

= \frac{125 \cdot 5}{125 \cdot 8}

Cancel the common factor:

125

= \frac{5}{8}

= - \frac{5}{8}

Popular Examples

Multiply 13*17 long multiplication

13 \cdot 17

Round to the Nearest Thousandth 1.14733700

ro u n d t o t h e n e a res t t h o u s an d t h 1.14733700

Convert to a Percentage 13/4 convert

t o a p erce n t a g e 13/4

Reduce the Fraction 18/36 reduce fraction

t h e \frac{18}{36}

Find the Possible Factors 5 positive factors of

5

Frequently Asked Questions (FAQ)

What is dectofrac-0.625 ?
The solution to dectofrac-0.625 is -5/8