What is 14.2 as a fraction?
14.2 as a fraction is 142/10 and its simplest form is 71/5.
Learn how to find what is 14.2 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 14.2 in its equivalent fraction form. It is required to recognize the decimal point 14.2 as 142 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 14.2 as a fraction and how it can be found easily.
Summary: 14.2 in fraction form
14.2 can be recognized as 142 tenths, which can be represented as 142/10 in fraction form. The simplest form of 142/10 is 71/5. Therefore, 14.2 as a fraction is 71/5.
Write 14.2 as a fraction in simplest form.
14.2 = (?)
14.2 = 14.2/1
= (14.2/1) x (10/10) //14.2 can be recognized as 142 tenths.
= 142/10 //142 tenths is equal to 142/10 and it can be simplified further.
= (142/2)/(10/2) //2 is the GCF of 142 and 10. Divide both 142 and 10 by the GCF 2 to simplify the fraction.
= 71/5
14.2 = 71/5
14.2 in its simplest fraction form is 71/5.
So, what is the fraction of 14.2?
It is 142/10 in fraction. To simplify 142/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 142 by 2 gives 71,
and dividing 10 by 2 gives 5. Thus, 142/10 simplifies to 71/5
Refer to the step by step work further to learn how to find what is 14.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 14.2
What to be found:
What is 14.2 as a fraction in simplest form?
step 2 Write 14.2 as a simple fraction.
14.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 14.2/1.
Since the decimal 14.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 14.2/1 to make numerator as a whole number.
(14.2 x 10)/(1 x 10) = 142/10
step 4
142 tenths is the fraction form of 14.2, however, it can be reduced further. To simplify 142/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 142 and 10 cancel each other.
142/10 = (2 x 71)/(2 x 5)
= 71/5
142/10 = 71/5
Hence,
14.2 as a fraction is 71/5.
Converting decimals like 14.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 14.2 to fraction form. In this case, 14.2 can be recognized as 142 tenths. So, the fraction form of 14.2 is 142/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 142/10 in its simplest form.