0.042 as a Fraction in Simplest Form

Learn how to find what is 0.042 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 0.042 in its equivalent fraction form. It is required to recognize the decimal point 0.042 as 42 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.042 as a fraction and how it can be found easily.

Summary: 0.042 in fraction form
0.042 can be recognized as 42 thousandths, which can be represented as 42/1000 in fraction form. The simplest form of 42/1000 is 21/500. Therefore, 0.042 as a fraction is 21/500.

Write 0.042 as a fraction in simplest form.
0.042 = (?)
0.042 = 0.042/1
= (0.042/1) x (1000/1000)      //0.042 can be recognized as 42 thousandths.
= 42/1000      //42 thousandths is equal to 42/1000 and it can be simplified further.
= (42/2)/(1000/2)       //2 is the GCF of 42 and 1000. Divide both 42 and 1000 by the GCF 2 to simplify the fraction.
= 21/500
0.042 = 21/500
0.042 in its simplest fraction form is 21/500.

So, what is the fraction of 0.042?
It is 42/1000 in fraction. To simplify 42/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 42 by 2 gives 21, and dividing 1000 by 2 gives 500. Thus, 42/1000 simplifies to 21/500

Refer to the step by step work further to learn how to find what is 0.042 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.042

What to be found:
What is 0.042 as a fraction in simplest form?

step 2 Write 0.042 as a simple fraction.
0.042/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.042/1.
Since the decimal 0.042 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.042/1 to make numerator as a whole number.
(0.042 x 1000)/(1 x 1000) = 42/1000

step 4 42 thousandths is the fraction form of 0.042, however, it can be reduced further. To simplify 42/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 42 and 1000 cancel each other.
42/1000 = (2 x 21)/(2 x 500)
= 21/500
42/1000 = 21/500
Hence,
0.042 as a fraction is 21/500.

Converting decimals like 0.042 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.042 to fraction form. In this case, 0.042 can be recognized as 42 thousandths. So, the fraction form of 0.042 is 42/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 42/1000 in its simplest form.