0.088 as a Fraction in Simplest Form

Learn how to find what is 0.088 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 0.088 in its equivalent fraction form. It is required to recognize the decimal point 0.088 as 88 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.088 as a fraction and how it can be found easily.

Summary: 0.088 in fraction form
0.088 can be recognized as 88 thousandths, which can be represented as 88/1000 in fraction form. The simplest form of 88/1000 is 11/125. Therefore, 0.088 as a fraction is 11/125.

Write 0.088 as a fraction in simplest form.
0.088 = (?)
0.088 = 0.088/1
= (0.088/1) x (1000/1000)      //0.088 can be recognized as 88 thousandths.
= 88/1000      //88 thousandths is equal to 88/1000 and it can be simplified further.
= (88/8)/(1000/8)       //8 is the GCF of 88 and 1000. Divide both 88 and 1000 by the GCF 8 to simplify the fraction.
= 11/125
0.088 = 11/125
0.088 in its simplest fraction form is 11/125.

So, what is the fraction of 0.088?
It is 88/1000 in fraction. To simplify 88/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 88 by 8 gives 11, and dividing 1000 by 8 gives 125. Thus, 88/1000 simplifies to 11/125

Refer to the step by step work further to learn how to find what is 0.088 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.088

What to be found:
What is 0.088 as a fraction in simplest form?

step 2 Write 0.088 as a simple fraction.
0.088/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.088/1.
Since the decimal 0.088 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.088/1 to make numerator as a whole number.
(0.088 x 1000)/(1 x 1000) = 88/1000

step 4 88 thousandths is the fraction form of 0.088, however, it can be reduced further. To simplify 88/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 88 and 1000 cancel each other.
88/1000 = (8 x 11)/(8 x 125)
= 11/125
88/1000 = 11/125
Hence,
0.088 as a fraction is 11/125.

Converting decimals like 0.088 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.088 to fraction form. In this case, 0.088 can be recognized as 88 thousandths. So, the fraction form of 0.088 is 88/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 88/1000 in its simplest form.