What is 0.296 as a fraction?
0.296 as a fraction is 296/1000 and its simplest form is 37/125.
Learn how to find what is 0.296 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 0.296 in its equivalent fraction form. It is required to recognize the decimal point 0.296 as 296 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.296 as a fraction and how it can be found easily.
Summary: 0.296 in fraction form
0.296 can be recognized as 296 thousandths, which can be represented as 296/1000 in fraction form. The simplest form of 296/1000 is 37/125. Therefore, 0.296 as a fraction is 37/125.
Write 0.296 as a fraction in simplest form.
0.296 = (?)
0.296 = 0.296/1
= (0.296/1) x (1000/1000) //0.296 can be recognized as 296 thousandths.
= 296/1000 //296 thousandths is equal to 296/1000 and it can be simplified further.
= (296/8)/(1000/8) //8 is the GCF of 296 and 1000. Divide both 296 and 1000 by the GCF 8 to simplify the fraction.
= 37/125
0.296 = 37/125
0.296 in its simplest fraction form is 37/125.
So, what is the fraction of 0.296?
It is 296/1000 in fraction. To simplify 296/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 296 by 8 gives 37,
and dividing 1000 by 8 gives 125. Thus, 296/1000 simplifies to 37/125
Refer to the step by step work further to learn how to find what is 0.296 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.296
What to be found:
What is 0.296 as a fraction in simplest form?
step 2 Write 0.296 as a simple fraction.
0.296/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.296/1.
Since the decimal 0.296 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.296/1 to make numerator as a whole number.
(0.296 x 1000)/(1 x 1000) = 296/1000
step 4
296 thousandths is the fraction form of 0.296, however, it can be reduced further. To simplify 296/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 296 and 1000 cancel each other.
296/1000 = (8 x 37)/(8 x 125)
= 37/125
296/1000 = 37/125
Hence,
0.296 as a fraction is 37/125.
Converting decimals like 0.296 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.296 to fraction form. In this case, 0.296 can be recognized as 296 thousandths. So, the fraction form of 0.296 is 296/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 296/1000 in its simplest form.