What is 0.952 as a fraction?
0.952 as a fraction is 952/1000 and its simplest form is 119/125.
Learn how to find what is 0.952 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 0.952 in its equivalent fraction form. It is required to recognize the decimal point 0.952 as 952 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.952 as a fraction and how it can be found easily.
Summary: 0.952 in fraction form
0.952 can be recognized as 952 thousandths, which can be represented as 952/1000 in fraction form. The simplest form of 952/1000 is 119/125. Therefore, 0.952 as a fraction is 119/125.
Write 0.952 as a fraction in simplest form.
0.952 = (?)
0.952 = 0.952/1
= (0.952/1) x (1000/1000) //0.952 can be recognized as 952 thousandths.
= 952/1000 //952 thousandths is equal to 952/1000 and it can be simplified further.
= (952/8)/(1000/8) //8 is the GCF of 952 and 1000. Divide both 952 and 1000 by the GCF 8 to simplify the fraction.
= 119/125
0.952 = 119/125
0.952 in its simplest fraction form is 119/125.
So, what is the fraction of 0.952?
It is 952/1000 in fraction. To simplify 952/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 952 by 8 gives 119,
and dividing 1000 by 8 gives 125. Thus, 952/1000 simplifies to 119/125
Refer to the step by step work further to learn how to find what is 0.952 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.952
What to be found:
What is 0.952 as a fraction in simplest form?
step 2 Write 0.952 as a simple fraction.
0.952/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.952/1.
Since the decimal 0.952 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.952/1 to make numerator as a whole number.
(0.952 x 1000)/(1 x 1000) = 952/1000
step 4
952 thousandths is the fraction form of 0.952, however, it can be reduced further. To simplify 952/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 952 and 1000 cancel each other.
952/1000 = (8 x 119)/(8 x 125)
= 119/125
952/1000 = 119/125
Hence,
0.952 as a fraction is 119/125.
Converting decimals like 0.952 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.952 to fraction form. In this case, 0.952 can be recognized as 952 thousandths. So, the fraction form of 0.952 is 952/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 952/1000 in its simplest form.