4.6 as a Fraction in Simplest Form

Learn how to find what is 4.6 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 4.6 in its equivalent fraction form. It is required to recognize the decimal point 4.6 as 46 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 4.6 as a fraction and how it can be found easily.

Summary: 4.6 in fraction form
4.6 can be recognized as 46 tenths, which can be represented as 46/10 in fraction form. The simplest form of 46/10 is 23/5. Therefore, 4.6 as a fraction is 23/5.

Write 4.6 as a fraction in simplest form.
4.6 = (?)
4.6 = 4.6/1
= (4.6/1) x (10/10)      //4.6 can be recognized as 46 tenths.
= 46/10      //46 tenths is equal to 46/10 and it can be simplified further.
= (46/2)/(10/2)       //2 is the GCF of 46 and 10. Divide both 46 and 10 by the GCF 2 to simplify the fraction.
= 23/5
4.6 = 23/5
4.6 in its simplest fraction form is 23/5.

So, what is the fraction of 4.6?
It is 46/10 in fraction. To simplify 46/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 46 by 2 gives 23, and dividing 10 by 2 gives 5. Thus, 46/10 simplifies to 23/5

Refer to the step by step work further to learn how to find what is 4.6 as a fraction in simple form.

step 1 Input values:
The decimal number = 4.6

What to be found:
What is 4.6 as a fraction in simplest form?

step 2 Write 4.6 as a simple fraction.
4.6/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 4.6/1.
Since the decimal 4.6 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 4.6/1 to make numerator as a whole number.
(4.6 x 10)/(1 x 10) = 46/10

step 4 46 tenths is the fraction form of 4.6, however, it can be reduced further. To simplify 46/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 46 and 10 cancel each other.
46/10 = (2 x 23)/(2 x 5)
= 23/5
46/10 = 23/5
Hence,
4.6 as a fraction is 23/5.

Converting decimals like 4.6 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 4.6 to fraction form. In this case, 4.6 can be recognized as 46 tenths. So, the fraction form of 4.6 is 46/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 46/10 in its simplest form.