What is 0.765 as a fraction?
0.765 as a fraction is 765/1000 and its simplest form is 153/200.
Learn how to find what is 0.765 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 0.765 in its equivalent fraction form. It is required to recognize the decimal point 0.765 as 765 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.765 as a fraction and how it can be found easily.
Summary: 0.765 in fraction form
0.765 can be recognized as 765 thousandths, which can be represented as 765/1000 in fraction form. The simplest form of 765/1000 is 153/200. Therefore, 0.765 as a fraction is 153/200.
Write 0.765 as a fraction in simplest form.
0.765 = (?)
0.765 = 0.765/1
= (0.765/1) x (1000/1000) //0.765 can be recognized as 765 thousandths.
= 765/1000 //765 thousandths is equal to 765/1000 and it can be simplified further.
= (765/5)/(1000/5) //5 is the GCF of 765 and 1000. Divide both 765 and 1000 by the GCF 5 to simplify the fraction.
= 153/200
0.765 = 153/200
0.765 in its simplest fraction form is 153/200.
So, what is the fraction of 0.765?
It is 765/1000 in fraction. To simplify 765/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 765 by 5 gives 153,
and dividing 1000 by 5 gives 200. Thus, 765/1000 simplifies to 153/200
Refer to the step by step work further to learn how to find what is 0.765 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.765
What to be found:
What is 0.765 as a fraction in simplest form?
step 2 Write 0.765 as a simple fraction.
0.765/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.765/1.
Since the decimal 0.765 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.765/1 to make numerator as a whole number.
(0.765 x 1000)/(1 x 1000) = 765/1000
step 4
765 thousandths is the fraction form of 0.765, however, it can be reduced further. To simplify 765/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 765 and 1000 cancel each other.
765/1000 = (5 x 153)/(5 x 200)
= 153/200
765/1000 = 153/200
Hence,
0.765 as a fraction is 153/200.
Converting decimals like 0.765 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.765 to fraction form. In this case, 0.765 can be recognized as 765 thousandths. So, the fraction form of 0.765 is 765/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 765/1000 in its simplest form.