What is 0.142 as a fraction?
0.142 as a fraction is 142/1000 and its simplest form is 71/500.
Learn how to find what is 0.142 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 0.142 in its equivalent fraction form. It is required to recognize the decimal point 0.142 as 142 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.142 as a fraction and how it can be found easily.
Summary: 0.142 in fraction form
0.142 can be recognized as 142 thousandths, which can be represented as 142/1000 in fraction form. The simplest form of 142/1000 is 71/500. Therefore, 0.142 as a fraction is 71/500.
Write 0.142 as a fraction in simplest form.
0.142 = (?)
0.142 = 0.142/1
= (0.142/1) x (1000/1000) //0.142 can be recognized as 142 thousandths.
= 142/1000 //142 thousandths is equal to 142/1000 and it can be simplified further.
= (142/2)/(1000/2) //2 is the GCF of 142 and 1000. Divide both 142 and 1000 by the GCF 2 to simplify the fraction.
= 71/500
0.142 = 71/500
0.142 in its simplest fraction form is 71/500.
So, what is the fraction of 0.142?
It is 142/1000 in fraction. To simplify 142/1000, 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 1000 by 2 gives 500. Thus, 142/1000 simplifies to 71/500
Refer to the step by step work further to learn how to find what is 0.142 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.142
What to be found:
What is 0.142 as a fraction in simplest form?
step 2 Write 0.142 as a simple fraction.
0.142/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.142/1.
Since the decimal 0.142 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.142/1 to make numerator as a whole number.
(0.142 x 1000)/(1 x 1000) = 142/1000
step 4
142 thousandths is the fraction form of 0.142, however, it can be reduced further. To simplify 142/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 142 and 1000 cancel each other.
142/1000 = (2 x 71)/(2 x 500)
= 71/500
142/1000 = 71/500
Hence,
0.142 as a fraction is 71/500.
Converting decimals like 0.142 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.142 to fraction form. In this case, 0.142 can be recognized as 142 thousandths. So, the fraction form of 0.142 is 142/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 142/1000 in its simplest form.