2.54 as a Fraction in Simplest Form

Learn how to find what is 2.54 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 2.54 in its equivalent fraction form. It is required to recognize the decimal point 2.54 as 254 hundredths to get started with this decimal to fraction conversion. Continue reading to learn what is 2.54 as a fraction and how it can be found easily.

Summary: 2.54 in fraction form
2.54 can be recognized as 254 hundredths, which can be represented as 254/100 in fraction form. The simplest form of 254/100 is 127/50. Therefore, 2.54 as a fraction is 127/50.

Write 2.54 as a fraction in simplest form.
2.54 = (?)
2.54 = 2.54/1
= (2.54/1) x (100/100)      //2.54 can be recognized as 254 hundredths.
= 254/100      //254 hundredths is equal to 254/100 and it can be simplified further.
= (254/2)/(100/2)       //2 is the GCF of 254 and 100. Divide both 254 and 100 by the GCF 2 to simplify the fraction.
= 127/50
2.54 = 127/50
2.54 in its simplest fraction form is 127/50.

So, what is the fraction of 2.54?
It is 254/100 in fraction. To simplify 254/100, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 254 by 2 gives 127, and dividing 100 by 2 gives 50. Thus, 254/100 simplifies to 127/50

Refer to the step by step work further to learn how to find what is 2.54 as a fraction in simple form.

step 1 Input values:
The decimal number = 2.54

What to be found:
What is 2.54 as a fraction in simplest form?

step 2 Write 2.54 as a simple fraction.
2.54/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 2.54/1.
Since the decimal 2.54 has 2 digits after the decimal point, multiply 100 with both numerator and denominator of 2.54/1 to make numerator as a whole number.
(2.54 x 100)/(1 x 100) = 254/100

step 4 254 hundredths is the fraction form of 2.54, however, it can be reduced further. To simplify 254/100, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 254 and 100 cancel each other.
254/100 = (2 x 127)/(2 x 50)
= 127/50
254/100 = 127/50
Hence,
2.54 as a fraction is 127/50.

Converting decimals like 2.54 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 2.54 to fraction form. In this case, 2.54 can be recognized as 254 hundredths. So, the fraction form of 2.54 is 254/100. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 254/100 in its simplest form.