0.0755 as a Fraction in Simplest Form

Learn how to find what is 0.0755 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 0.0755 in its equivalent fraction form. It is required to recognize the decimal point 0.0755 as 755 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0755 as a fraction and how it can be found easily.

Summary: 0.0755 in fraction form
0.0755 can be recognized as 755 ten-thousandths, which can be represented as 755/10000 in fraction form. The simplest form of 755/10000 is 151/2000. Therefore, 0.0755 as a fraction is 151/2000.

Write 0.0755 as a fraction in simplest form.
0.0755 = (?)
0.0755 = 0.0755/1
= (0.0755/1) x (10000/10000)      //0.0755 can be recognized as 755 ten-thousandths.
= 755/10000      //755 ten-thousandths is equal to 755/10000 and it can be simplified further.
= (755/5)/(10000/5)       //5 is the GCF of 755 and 10000. Divide both 755 and 10000 by the GCF 5 to simplify the fraction.
= 151/2000
0.0755 = 151/2000
0.0755 in its simplest fraction form is 151/2000.

So, what is the fraction of 0.0755?
It is 755/10000 in fraction. To simplify 755/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 755 by 5 gives 151, and dividing 10000 by 5 gives 2000. Thus, 755/10000 simplifies to 151/2000

Refer to the step by step work further to learn how to find what is 0.0755 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0755

What to be found:
What is 0.0755 as a fraction in simplest form?

step 2 Write 0.0755 as a simple fraction.
0.0755/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0755/1.
Since the decimal 0.0755 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0755/1 to make numerator as a whole number.
(0.0755 x 10000)/(1 x 10000) = 755/10000

step 4 755 ten-thousandths is the fraction form of 0.0755, however, it can be reduced further. To simplify 755/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 755 and 10000 cancel each other.
755/10000 = (5 x 151)/(5 x 2000)
= 151/2000
755/10000 = 151/2000
Hence,
0.0755 as a fraction is 151/2000.

Converting decimals like 0.0755 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0755 to fraction form. In this case, 0.0755 can be recognized as 755 ten-thousandths. So, the fraction form of 0.0755 is 755/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 755/10000 in its simplest form.