What is 0.942 as a fraction?
0.942 as a fraction is 942/1000 and its simplest form is 471/500.
Learn how to find what is 0.942 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 0.942 in its equivalent fraction form. It is required to recognize the decimal point 0.942 as 942 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.942 as a fraction and how it can be found easily.
Summary: 0.942 in fraction form
0.942 can be recognized as 942 thousandths, which can be represented as 942/1000 in fraction form. The simplest form of 942/1000 is 471/500. Therefore, 0.942 as a fraction is 471/500.
Write 0.942 as a fraction in simplest form.
0.942 = (?)
0.942 = 0.942/1
= (0.942/1) x (1000/1000) //0.942 can be recognized as 942 thousandths.
= 942/1000 //942 thousandths is equal to 942/1000 and it can be simplified further.
= (942/2)/(1000/2) //2 is the GCF of 942 and 1000. Divide both 942 and 1000 by the GCF 2 to simplify the fraction.
= 471/500
0.942 = 471/500
0.942 in its simplest fraction form is 471/500.
So, what is the fraction of 0.942?
It is 942/1000 in fraction. To simplify 942/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 942 by 2 gives 471,
and dividing 1000 by 2 gives 500. Thus, 942/1000 simplifies to 471/500
Refer to the step by step work further to learn how to find what is 0.942 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.942
What to be found:
What is 0.942 as a fraction in simplest form?
step 2 Write 0.942 as a simple fraction.
0.942/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.942/1.
Since the decimal 0.942 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.942/1 to make numerator as a whole number.
(0.942 x 1000)/(1 x 1000) = 942/1000
step 4
942 thousandths is the fraction form of 0.942, however, it can be reduced further. To simplify 942/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 942 and 1000 cancel each other.
942/1000 = (2 x 471)/(2 x 500)
= 471/500
942/1000 = 471/500
Hence,
0.942 as a fraction is 471/500.
Converting decimals like 0.942 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.942 to fraction form. In this case, 0.942 can be recognized as 942 thousandths. So, the fraction form of 0.942 is 942/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 942/1000 in its simplest form.