What is 17.5 as a fraction?
17.5 as a fraction is 175/10 and its simplest form is 35/2.
Learn how to find what is 17.5 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 17.5 in its equivalent fraction form. It is required to recognize the decimal point 17.5 as 175 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 17.5 as a fraction and how it can be found easily.
Summary: 17.5 in fraction form
17.5 can be recognized as 175 tenths, which can be represented as 175/10 in fraction form. The simplest form of 175/10 is 35/2. Therefore, 17.5 as a fraction is 35/2.
Write 17.5 as a fraction in simplest form.
17.5 = (?)
17.5 = 17.5/1
= (17.5/1) x (10/10) //17.5 can be recognized as 175 tenths.
= 175/10 //175 tenths is equal to 175/10 and it can be simplified further.
= (175/5)/(10/5) //5 is the GCF of 175 and 10. Divide both 175 and 10 by the GCF 5 to simplify the fraction.
= 35/2
17.5 = 35/2
17.5 in its simplest fraction form is 35/2.
So, what is the fraction of 17.5?
It is 175/10 in fraction. To simplify 175/10, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 175 by 5 gives 35,
and dividing 10 by 5 gives 2. Thus, 175/10 simplifies to 35/2
Refer to the step by step work further to learn how to find what is 17.5 as a fraction in simple form.
step 1
Input values:
The decimal number = 17.5
What to be found:
What is 17.5 as a fraction in simplest form?
step 2 Write 17.5 as a simple fraction.
17.5/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 17.5/1.
Since the decimal 17.5 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 17.5/1 to make numerator as a whole number.
(17.5 x 10)/(1 x 10) = 175/10
step 4
175 tenths is the fraction form of 17.5, however, it can be reduced further. To simplify 175/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 175 and 10 cancel each other.
175/10 = (5 x 35)/(5 x 2)
= 35/2
175/10 = 35/2
Hence,
17.5 as a fraction is 35/2.
Converting decimals like 17.5 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 17.5 to fraction form. In this case, 17.5 can be recognized as 175 tenths. So, the fraction form of 17.5 is 175/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 175/10 in its simplest form.