0.074 as a Fraction in Simplest Form

Learn how to find what is 0.074 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 0.074 in its equivalent fraction form. It is required to recognize the decimal point 0.074 as 74 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.074 as a fraction and how it can be found easily.

Summary: 0.074 in fraction form
0.074 can be recognized as 74 thousandths, which can be represented as 74/1000 in fraction form. The simplest form of 74/1000 is 37/500. Therefore, 0.074 as a fraction is 37/500.

Write 0.074 as a fraction in simplest form.
0.074 = (?)
0.074 = 0.074/1
= (0.074/1) x (1000/1000)      //0.074 can be recognized as 74 thousandths.
= 74/1000      //74 thousandths is equal to 74/1000 and it can be simplified further.
= (74/2)/(1000/2)       //2 is the GCF of 74 and 1000. Divide both 74 and 1000 by the GCF 2 to simplify the fraction.
= 37/500
0.074 = 37/500
0.074 in its simplest fraction form is 37/500.

So, what is the fraction of 0.074?
It is 74/1000 in fraction. To simplify 74/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 74 by 2 gives 37, and dividing 1000 by 2 gives 500. Thus, 74/1000 simplifies to 37/500

Refer to the step by step work further to learn how to find what is 0.074 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.074

What to be found:
What is 0.074 as a fraction in simplest form?

step 2 Write 0.074 as a simple fraction.
0.074/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.074/1.
Since the decimal 0.074 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.074/1 to make numerator as a whole number.
(0.074 x 1000)/(1 x 1000) = 74/1000

step 4 74 thousandths is the fraction form of 0.074, however, it can be reduced further. To simplify 74/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 74 and 1000 cancel each other.
74/1000 = (2 x 37)/(2 x 500)
= 37/500
74/1000 = 37/500
Hence,
0.074 as a fraction is 37/500.

Converting decimals like 0.074 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.074 to fraction form. In this case, 0.074 can be recognized as 74 thousandths. So, the fraction form of 0.074 is 74/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 74/1000 in its simplest form.