2.95 as a Fraction in Simplest Form

Learn how to find what is 2.95 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 2.95 in its equivalent fraction form. It is required to recognize the decimal point 2.95 as 295 hundredths to get started with this decimal to fraction conversion. Continue reading to learn what is 2.95 as a fraction and how it can be found easily.

Summary: 2.95 in fraction form
2.95 can be recognized as 295 hundredths, which can be represented as 295/100 in fraction form. The simplest form of 295/100 is 59/20. Therefore, 2.95 as a fraction is 59/20.

Write 2.95 as a fraction in simplest form.
2.95 = (?)
2.95 = 2.95/1
= (2.95/1) x (100/100)      //2.95 can be recognized as 295 hundredths.
= 295/100      //295 hundredths is equal to 295/100 and it can be simplified further.
= (295/5)/(100/5)       //5 is the GCF of 295 and 100. Divide both 295 and 100 by the GCF 5 to simplify the fraction.
= 59/20
2.95 = 59/20
2.95 in its simplest fraction form is 59/20.

So, what is the fraction of 2.95?
It is 295/100 in fraction. To simplify 295/100, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 295 by 5 gives 59, and dividing 100 by 5 gives 20. Thus, 295/100 simplifies to 59/20

Refer to the step by step work further to learn how to find what is 2.95 as a fraction in simple form.

step 1 Input values:
The decimal number = 2.95

What to be found:
What is 2.95 as a fraction in simplest form?

step 2 Write 2.95 as a simple fraction.
2.95/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 2.95/1.
Since the decimal 2.95 has 2 digits after the decimal point, multiply 100 with both numerator and denominator of 2.95/1 to make numerator as a whole number.
(2.95 x 100)/(1 x 100) = 295/100

step 4 295 hundredths is the fraction form of 2.95, however, it can be reduced further. To simplify 295/100, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 295 and 100 cancel each other.
295/100 = (5 x 59)/(5 x 20)
= 59/20
295/100 = 59/20
Hence,
2.95 as a fraction is 59/20.

Converting decimals like 2.95 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 2.95 to fraction form. In this case, 2.95 can be recognized as 295 hundredths. So, the fraction form of 2.95 is 295/100. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 295/100 in its simplest form.