What is 17.2 as a fraction?
17.2 as a fraction is 172/10 and its simplest form is 86/5.
Learn how to find what is 17.2 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 17.2 in its equivalent fraction form. It is required to recognize the decimal point 17.2 as 172 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 17.2 as a fraction and how it can be found easily.
Summary: 17.2 in fraction form
17.2 can be recognized as 172 tenths, which can be represented as 172/10 in fraction form. The simplest form of 172/10 is 86/5. Therefore, 17.2 as a fraction is 86/5.
Write 17.2 as a fraction in simplest form.
17.2 = (?)
17.2 = 17.2/1
= (17.2/1) x (10/10) //17.2 can be recognized as 172 tenths.
= 172/10 //172 tenths is equal to 172/10 and it can be simplified further.
= (172/2)/(10/2) //2 is the GCF of 172 and 10. Divide both 172 and 10 by the GCF 2 to simplify the fraction.
= 86/5
17.2 = 86/5
17.2 in its simplest fraction form is 86/5.
So, what is the fraction of 17.2?
It is 172/10 in fraction. To simplify 172/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 172 by 2 gives 86,
and dividing 10 by 2 gives 5. Thus, 172/10 simplifies to 86/5
Refer to the step by step work further to learn how to find what is 17.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 17.2
What to be found:
What is 17.2 as a fraction in simplest form?
step 2 Write 17.2 as a simple fraction.
17.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 17.2/1.
Since the decimal 17.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 17.2/1 to make numerator as a whole number.
(17.2 x 10)/(1 x 10) = 172/10
step 4
172 tenths is the fraction form of 17.2, however, it can be reduced further. To simplify 172/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 172 and 10 cancel each other.
172/10 = (2 x 86)/(2 x 5)
= 86/5
172/10 = 86/5
Hence,
17.2 as a fraction is 86/5.
Converting decimals like 17.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 17.2 to fraction form. In this case, 17.2 can be recognized as 172 tenths. So, the fraction form of 17.2 is 172/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 172/10 in its simplest form.