What is 45.4 as a fraction?
45.4 as a fraction is 454/10 and its simplest form is 227/5.
Learn how to find what is 45.4 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 45.4 in its equivalent fraction form. It is required to recognize the decimal point 45.4 as 454 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 45.4 as a fraction and how it can be found easily.
Summary: 45.4 in fraction form
45.4 can be recognized as 454 tenths, which can be represented as 454/10 in fraction form. The simplest form of 454/10 is 227/5. Therefore, 45.4 as a fraction is 227/5.
Write 45.4 as a fraction in simplest form.
45.4 = (?)
45.4 = 45.4/1
= (45.4/1) x (10/10) //45.4 can be recognized as 454 tenths.
= 454/10 //454 tenths is equal to 454/10 and it can be simplified further.
= (454/2)/(10/2) //2 is the GCF of 454 and 10. Divide both 454 and 10 by the GCF 2 to simplify the fraction.
= 227/5
45.4 = 227/5
45.4 in its simplest fraction form is 227/5.
So, what is the fraction of 45.4?
It is 454/10 in fraction. To simplify 454/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 454 by 2 gives 227,
and dividing 10 by 2 gives 5. Thus, 454/10 simplifies to 227/5
Refer to the step by step work further to learn how to find what is 45.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 45.4
What to be found:
What is 45.4 as a fraction in simplest form?
step 2 Write 45.4 as a simple fraction.
45.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 45.4/1.
Since the decimal 45.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 45.4/1 to make numerator as a whole number.
(45.4 x 10)/(1 x 10) = 454/10
step 4
454 tenths is the fraction form of 45.4, however, it can be reduced further. To simplify 454/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 454 and 10 cancel each other.
454/10 = (2 x 227)/(2 x 5)
= 227/5
454/10 = 227/5
Hence,
45.4 as a fraction is 227/5.
Converting decimals like 45.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 45.4 to fraction form. In this case, 45.4 can be recognized as 454 tenths. So, the fraction form of 45.4 is 454/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 454/10 in its simplest form.