What is 10.2 as a fraction?
10.2 as a fraction is 102/10 and its simplest form is 51/5.
Learn how to find what is 10.2 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 10.2 in its equivalent fraction form. It is required to recognize the decimal point 10.2 as 102 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 10.2 as a fraction and how it can be found easily.
Summary: 10.2 in fraction form
10.2 can be recognized as 102 tenths, which can be represented as 102/10 in fraction form. The simplest form of 102/10 is 51/5. Therefore, 10.2 as a fraction is 51/5.
Write 10.2 as a fraction in simplest form.
10.2 = (?)
10.2 = 10.2/1
= (10.2/1) x (10/10) //10.2 can be recognized as 102 tenths.
= 102/10 //102 tenths is equal to 102/10 and it can be simplified further.
= (102/2)/(10/2) //2 is the GCF of 102 and 10. Divide both 102 and 10 by the GCF 2 to simplify the fraction.
= 51/5
10.2 = 51/5
10.2 in its simplest fraction form is 51/5.
So, what is the fraction of 10.2?
It is 102/10 in fraction. To simplify 102/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 102 by 2 gives 51,
and dividing 10 by 2 gives 5. Thus, 102/10 simplifies to 51/5
Refer to the step by step work further to learn how to find what is 10.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 10.2
What to be found:
What is 10.2 as a fraction in simplest form?
step 2 Write 10.2 as a simple fraction.
10.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 10.2/1.
Since the decimal 10.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 10.2/1 to make numerator as a whole number.
(10.2 x 10)/(1 x 10) = 102/10
step 4
102 tenths is the fraction form of 10.2, however, it can be reduced further. To simplify 102/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 102 and 10 cancel each other.
102/10 = (2 x 51)/(2 x 5)
= 51/5
102/10 = 51/5
Hence,
10.2 as a fraction is 51/5.
Converting decimals like 10.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 10.2 to fraction form. In this case, 10.2 can be recognized as 102 tenths. So, the fraction form of 10.2 is 102/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 102/10 in its simplest form.