What is 35.2 as a fraction?
35.2 as a fraction is 352/10 and its simplest form is 176/5.
Learn how to find what is 35.2 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 35.2 in its equivalent fraction form. It is required to recognize the decimal point 35.2 as 352 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 35.2 as a fraction and how it can be found easily.
Summary: 35.2 in fraction form
35.2 can be recognized as 352 tenths, which can be represented as 352/10 in fraction form. The simplest form of 352/10 is 176/5. Therefore, 35.2 as a fraction is 176/5.
Write 35.2 as a fraction in simplest form.
35.2 = (?)
35.2 = 35.2/1
= (35.2/1) x (10/10) //35.2 can be recognized as 352 tenths.
= 352/10 //352 tenths is equal to 352/10 and it can be simplified further.
= (352/2)/(10/2) //2 is the GCF of 352 and 10. Divide both 352 and 10 by the GCF 2 to simplify the fraction.
= 176/5
35.2 = 176/5
35.2 in its simplest fraction form is 176/5.
So, what is the fraction of 35.2?
It is 352/10 in fraction. To simplify 352/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 352 by 2 gives 176,
and dividing 10 by 2 gives 5. Thus, 352/10 simplifies to 176/5
Refer to the step by step work further to learn how to find what is 35.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 35.2
What to be found:
What is 35.2 as a fraction in simplest form?
step 2 Write 35.2 as a simple fraction.
35.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 35.2/1.
Since the decimal 35.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 35.2/1 to make numerator as a whole number.
(35.2 x 10)/(1 x 10) = 352/10
step 4
352 tenths is the fraction form of 35.2, however, it can be reduced further. To simplify 352/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 352 and 10 cancel each other.
352/10 = (2 x 176)/(2 x 5)
= 176/5
352/10 = 176/5
Hence,
35.2 as a fraction is 176/5.
Converting decimals like 35.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 35.2 to fraction form. In this case, 35.2 can be recognized as 352 tenths. So, the fraction form of 35.2 is 352/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 352/10 in its simplest form.