What is 17.6 as a fraction?
17.6 as a fraction is 176/10 and its simplest form is 88/5.
Learn how to find what is 17.6 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 17.6 in its equivalent fraction form. It is required to recognize the decimal point 17.6 as 176 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 17.6 as a fraction and how it can be found easily.
Summary: 17.6 in fraction form
17.6 can be recognized as 176 tenths, which can be represented as 176/10 in fraction form. The simplest form of 176/10 is 88/5. Therefore, 17.6 as a fraction is 88/5.
Write 17.6 as a fraction in simplest form.
17.6 = (?)
17.6 = 17.6/1
= (17.6/1) x (10/10) //17.6 can be recognized as 176 tenths.
= 176/10 //176 tenths is equal to 176/10 and it can be simplified further.
= (176/2)/(10/2) //2 is the GCF of 176 and 10. Divide both 176 and 10 by the GCF 2 to simplify the fraction.
= 88/5
17.6 = 88/5
17.6 in its simplest fraction form is 88/5.
So, what is the fraction of 17.6?
It is 176/10 in fraction. To simplify 176/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 176 by 2 gives 88,
and dividing 10 by 2 gives 5. Thus, 176/10 simplifies to 88/5
Refer to the step by step work further to learn how to find what is 17.6 as a fraction in simple form.
step 1
Input values:
The decimal number = 17.6
What to be found:
What is 17.6 as a fraction in simplest form?
step 2 Write 17.6 as a simple fraction.
17.6/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 17.6/1.
Since the decimal 17.6 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 17.6/1 to make numerator as a whole number.
(17.6 x 10)/(1 x 10) = 176/10
step 4
176 tenths is the fraction form of 17.6, however, it can be reduced further. To simplify 176/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 176 and 10 cancel each other.
176/10 = (2 x 88)/(2 x 5)
= 88/5
176/10 = 88/5
Hence,
17.6 as a fraction is 88/5.
Converting decimals like 17.6 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 17.6 to fraction form. In this case, 17.6 can be recognized as 176 tenths. So, the fraction form of 17.6 is 176/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 176/10 in its simplest form.