What is 45.6 as a fraction?
45.6 as a fraction is 456/10 and its simplest form is 228/5.
Learn how to find what is 45.6 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 45.6 in its equivalent fraction form. It is required to recognize the decimal point 45.6 as 456 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 45.6 as a fraction and how it can be found easily.
Summary: 45.6 in fraction form
45.6 can be recognized as 456 tenths, which can be represented as 456/10 in fraction form. The simplest form of 456/10 is 228/5. Therefore, 45.6 as a fraction is 228/5.
Write 45.6 as a fraction in simplest form.
45.6 = (?)
45.6 = 45.6/1
= (45.6/1) x (10/10) //45.6 can be recognized as 456 tenths.
= 456/10 //456 tenths is equal to 456/10 and it can be simplified further.
= (456/2)/(10/2) //2 is the GCF of 456 and 10. Divide both 456 and 10 by the GCF 2 to simplify the fraction.
= 228/5
45.6 = 228/5
45.6 in its simplest fraction form is 228/5.
So, what is the fraction of 45.6?
It is 456/10 in fraction. To simplify 456/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 456 by 2 gives 228,
and dividing 10 by 2 gives 5. Thus, 456/10 simplifies to 228/5
Refer to the step by step work further to learn how to find what is 45.6 as a fraction in simple form.
step 1
Input values:
The decimal number = 45.6
What to be found:
What is 45.6 as a fraction in simplest form?
step 2 Write 45.6 as a simple fraction.
45.6/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 45.6/1.
Since the decimal 45.6 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 45.6/1 to make numerator as a whole number.
(45.6 x 10)/(1 x 10) = 456/10
step 4
456 tenths is the fraction form of 45.6, however, it can be reduced further. To simplify 456/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 456 and 10 cancel each other.
456/10 = (2 x 228)/(2 x 5)
= 228/5
456/10 = 228/5
Hence,
45.6 as a fraction is 228/5.
Converting decimals like 45.6 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 45.6 to fraction form. In this case, 45.6 can be recognized as 456 tenths. So, the fraction form of 45.6 is 456/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 456/10 in its simplest form.