0.048 as a Fraction in Simplest Form

Learn how to find what is 0.048 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 0.048 in its equivalent fraction form. It is required to recognize the decimal point 0.048 as 48 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.048 as a fraction and how it can be found easily.

Summary: 0.048 in fraction form
0.048 can be recognized as 48 thousandths, which can be represented as 48/1000 in fraction form. The simplest form of 48/1000 is 6/125. Therefore, 0.048 as a fraction is 6/125.

Write 0.048 as a fraction in simplest form.
0.048 = (?)
0.048 = 0.048/1
= (0.048/1) x (1000/1000)      //0.048 can be recognized as 48 thousandths.
= 48/1000      //48 thousandths is equal to 48/1000 and it can be simplified further.
= (48/8)/(1000/8)       //8 is the GCF of 48 and 1000. Divide both 48 and 1000 by the GCF 8 to simplify the fraction.
= 6/125
0.048 = 6/125
0.048 in its simplest fraction form is 6/125.

So, what is the fraction of 0.048?
It is 48/1000 in fraction. To simplify 48/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 48 by 8 gives 6, and dividing 1000 by 8 gives 125. Thus, 48/1000 simplifies to 6/125

Refer to the step by step work further to learn how to find what is 0.048 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.048

What to be found:
What is 0.048 as a fraction in simplest form?

step 2 Write 0.048 as a simple fraction.
0.048/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.048/1.
Since the decimal 0.048 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.048/1 to make numerator as a whole number.
(0.048 x 1000)/(1 x 1000) = 48/1000

step 4 48 thousandths is the fraction form of 0.048, however, it can be reduced further. To simplify 48/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 48 and 1000 cancel each other.
48/1000 = (8 x 6)/(8 x 125)
= 6/125
48/1000 = 6/125
Hence,
0.048 as a fraction is 6/125.

Converting decimals like 0.048 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.048 to fraction form. In this case, 0.048 can be recognized as 48 thousandths. So, the fraction form of 0.048 is 48/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 48/1000 in its simplest form.