What is 0.958 as a fraction?
0.958 as a fraction is 958/1000 and its simplest form is 479/500.
Learn how to find what is 0.958 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 0.958 in its equivalent fraction form. It is required to recognize the decimal point 0.958 as 958 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.958 as a fraction and how it can be found easily.
Summary: 0.958 in fraction form
0.958 can be recognized as 958 thousandths, which can be represented as 958/1000 in fraction form. The simplest form of 958/1000 is 479/500. Therefore, 0.958 as a fraction is 479/500.
Write 0.958 as a fraction in simplest form.
0.958 = (?)
0.958 = 0.958/1
= (0.958/1) x (1000/1000) //0.958 can be recognized as 958 thousandths.
= 958/1000 //958 thousandths is equal to 958/1000 and it can be simplified further.
= (958/2)/(1000/2) //2 is the GCF of 958 and 1000. Divide both 958 and 1000 by the GCF 2 to simplify the fraction.
= 479/500
0.958 = 479/500
0.958 in its simplest fraction form is 479/500.
So, what is the fraction of 0.958?
It is 958/1000 in fraction. To simplify 958/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 958 by 2 gives 479,
and dividing 1000 by 2 gives 500. Thus, 958/1000 simplifies to 479/500
Refer to the step by step work further to learn how to find what is 0.958 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.958
What to be found:
What is 0.958 as a fraction in simplest form?
step 2 Write 0.958 as a simple fraction.
0.958/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.958/1.
Since the decimal 0.958 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.958/1 to make numerator as a whole number.
(0.958 x 1000)/(1 x 1000) = 958/1000
step 4
958 thousandths is the fraction form of 0.958, however, it can be reduced further. To simplify 958/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 958 and 1000 cancel each other.
958/1000 = (2 x 479)/(2 x 500)
= 479/500
958/1000 = 479/500
Hence,
0.958 as a fraction is 479/500.
Converting decimals like 0.958 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.958 to fraction form. In this case, 0.958 can be recognized as 958 thousandths. So, the fraction form of 0.958 is 958/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 958/1000 in its simplest form.