What is 0.762 as a fraction?
0.762 as a fraction is 762/1000 and its simplest form is 381/500.
Learn how to find what is 0.762 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 0.762 in its equivalent fraction form. It is required to recognize the decimal point 0.762 as 762 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.762 as a fraction and how it can be found easily.
Summary: 0.762 in fraction form
0.762 can be recognized as 762 thousandths, which can be represented as 762/1000 in fraction form. The simplest form of 762/1000 is 381/500. Therefore, 0.762 as a fraction is 381/500.
Write 0.762 as a fraction in simplest form.
0.762 = (?)
0.762 = 0.762/1
= (0.762/1) x (1000/1000) //0.762 can be recognized as 762 thousandths.
= 762/1000 //762 thousandths is equal to 762/1000 and it can be simplified further.
= (762/2)/(1000/2) //2 is the GCF of 762 and 1000. Divide both 762 and 1000 by the GCF 2 to simplify the fraction.
= 381/500
0.762 = 381/500
0.762 in its simplest fraction form is 381/500.
So, what is the fraction of 0.762?
It is 762/1000 in fraction. To simplify 762/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 762 by 2 gives 381,
and dividing 1000 by 2 gives 500. Thus, 762/1000 simplifies to 381/500
Refer to the step by step work further to learn how to find what is 0.762 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.762
What to be found:
What is 0.762 as a fraction in simplest form?
step 2 Write 0.762 as a simple fraction.
0.762/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.762/1.
Since the decimal 0.762 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.762/1 to make numerator as a whole number.
(0.762 x 1000)/(1 x 1000) = 762/1000
step 4
762 thousandths is the fraction form of 0.762, however, it can be reduced further. To simplify 762/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 762 and 1000 cancel each other.
762/1000 = (2 x 381)/(2 x 500)
= 381/500
762/1000 = 381/500
Hence,
0.762 as a fraction is 381/500.
Converting decimals like 0.762 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.762 to fraction form. In this case, 0.762 can be recognized as 762 thousandths. So, the fraction form of 0.762 is 762/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 762/1000 in its simplest form.