What is 0.755 as a fraction?
0.755 as a fraction is 755/1000 and its simplest form is 151/200.
Learn how to find what is 0.755 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 0.755 in its equivalent fraction form. It is required to recognize the decimal point 0.755 as 755 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.755 as a fraction and how it can be found easily.
Summary: 0.755 in fraction form
0.755 can be recognized as 755 thousandths, which can be represented as 755/1000 in fraction form. The simplest form of 755/1000 is 151/200. Therefore, 0.755 as a fraction is 151/200.
Write 0.755 as a fraction in simplest form.
0.755 = (?)
0.755 = 0.755/1
= (0.755/1) x (1000/1000) //0.755 can be recognized as 755 thousandths.
= 755/1000 //755 thousandths is equal to 755/1000 and it can be simplified further.
= (755/5)/(1000/5) //5 is the GCF of 755 and 1000. Divide both 755 and 1000 by the GCF 5 to simplify the fraction.
= 151/200
0.755 = 151/200
0.755 in its simplest fraction form is 151/200.
So, what is the fraction of 0.755?
It is 755/1000 in fraction. To simplify 755/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 755 by 5 gives 151,
and dividing 1000 by 5 gives 200. Thus, 755/1000 simplifies to 151/200
Refer to the step by step work further to learn how to find what is 0.755 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.755
What to be found:
What is 0.755 as a fraction in simplest form?
step 2 Write 0.755 as a simple fraction.
0.755/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.755/1.
Since the decimal 0.755 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.755/1 to make numerator as a whole number.
(0.755 x 1000)/(1 x 1000) = 755/1000
step 4
755 thousandths is the fraction form of 0.755, however, it can be reduced further. To simplify 755/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 755 and 1000 cancel each other.
755/1000 = (5 x 151)/(5 x 200)
= 151/200
755/1000 = 151/200
Hence,
0.755 as a fraction is 151/200.
Converting decimals like 0.755 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.755 to fraction form. In this case, 0.755 can be recognized as 755 thousandths. So, the fraction form of 0.755 is 755/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 755/1000 in its simplest form.