What is 0.675 as a fraction?

0.675 as a fraction is 675/1000 and its simplest form is 27/40.

Learn how to find what is 0.675 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.675 in its equivalent fraction form. It is required to recognize the decimal point 0.675 as 675 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.675 as a fraction and how it can be found easily.

__Summary: 0.675 in fraction form__

0.675 can be recognized as 675 thousandths, which can be represented as 675/1000 in fraction form. The simplest form of 675/1000 is 27/40. Therefore, 0.675 as a fraction is 27/40.

**Write 0.675 as a fraction in simplest form.**

0.675 = (?)

0.675 = 0.675/1

= (0.675/1) x (1000/1000) //0.675 can be recognized as 675 thousandths.

= 675/1000 //675 thousandths is equal to 675/1000 and it can be simplified further.

= (675/25)/(1000/25) //25 is the GCF of 675 and 1000. Divide both 675 and 1000 by the GCF 25 to simplify the fraction.

= 27/40

0.675 = 27/40

0.675 in its simplest fraction form is 27/40.

So, what is the fraction of 0.675?

It is 675/1000 in fraction. To simplify 675/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 675 by 25 gives 27,
and dividing 1000 by 25 gives 40. Thus, 675/1000 simplifies to 27/40

Refer to the step by step work further to learn how to find what is 0.675 as a fraction in simple form.

step 1
__Input values:__

The decimal number = 0.675

__What to be found:__

What is 0.675 as a fraction in simplest form?

step 2 Write 0.675 as a simple fraction.

0.675/1

step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.675/1.

Since the decimal 0.675 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.675/1 to make numerator as a whole number.

(0.675 x 1000)/(1 x 1000) = 675/1000

step 4
675 thousandths is the fraction form of 0.675, however, it can be reduced further. To simplify 675/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 675 and 1000 cancel each other.

675/1000 = (25 x 27)/(25 x 40)

= 27/40

675/1000 = 27/40

Hence,

0.675 as a fraction is 27/40.

Converting decimals like 0.675 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.675 to fraction form. In this case, 0.675 can be recognized as 675 thousandths. So, the fraction form of 0.675 is 675/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 675/1000 in its simplest form.