What is 0.272 as a fraction?
0.272 as a fraction is 272/1000 and its simplest form is 34/125.
Learn how to find what is 0.272 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 0.272 in its equivalent fraction form. It is required to recognize the decimal point 0.272 as 272 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.272 as a fraction and how it can be found easily.
Summary: 0.272 in fraction form
0.272 can be recognized as 272 thousandths, which can be represented as 272/1000 in fraction form. The simplest form of 272/1000 is 34/125. Therefore, 0.272 as a fraction is 34/125.
Write 0.272 as a fraction in simplest form.
0.272 = (?)
0.272 = 0.272/1
= (0.272/1) x (1000/1000) //0.272 can be recognized as 272 thousandths.
= 272/1000 //272 thousandths is equal to 272/1000 and it can be simplified further.
= (272/8)/(1000/8) //8 is the GCF of 272 and 1000. Divide both 272 and 1000 by the GCF 8 to simplify the fraction.
= 34/125
0.272 = 34/125
0.272 in its simplest fraction form is 34/125.
So, what is the fraction of 0.272?
It is 272/1000 in fraction. To simplify 272/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 272 by 8 gives 34,
and dividing 1000 by 8 gives 125. Thus, 272/1000 simplifies to 34/125
Refer to the step by step work further to learn how to find what is 0.272 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.272
What to be found:
What is 0.272 as a fraction in simplest form?
step 2 Write 0.272 as a simple fraction.
0.272/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.272/1.
Since the decimal 0.272 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.272/1 to make numerator as a whole number.
(0.272 x 1000)/(1 x 1000) = 272/1000
step 4
272 thousandths is the fraction form of 0.272, however, it can be reduced further. To simplify 272/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 272 and 1000 cancel each other.
272/1000 = (8 x 34)/(8 x 125)
= 34/125
272/1000 = 34/125
Hence,
0.272 as a fraction is 34/125.
Converting decimals like 0.272 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.272 to fraction form. In this case, 0.272 can be recognized as 272 thousandths. So, the fraction form of 0.272 is 272/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 272/1000 in its simplest form.