What is 0.456 as a fraction?
0.456 as a fraction is 456/1000 and its simplest form is 57/125.
Learn how to find what is 0.456 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 0.456 in its equivalent fraction form. It is required to recognize the decimal point 0.456 as 456 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.456 as a fraction and how it can be found easily.
Summary: 0.456 in fraction form
0.456 can be recognized as 456 thousandths, which can be represented as 456/1000 in fraction form. The simplest form of 456/1000 is 57/125. Therefore, 0.456 as a fraction is 57/125.
Write 0.456 as a fraction in simplest form.
0.456 = (?)
0.456 = 0.456/1
= (0.456/1) x (1000/1000) //0.456 can be recognized as 456 thousandths.
= 456/1000 //456 thousandths is equal to 456/1000 and it can be simplified further.
= (456/8)/(1000/8) //8 is the GCF of 456 and 1000. Divide both 456 and 1000 by the GCF 8 to simplify the fraction.
= 57/125
0.456 = 57/125
0.456 in its simplest fraction form is 57/125.
So, what is the fraction of 0.456?
It is 456/1000 in fraction. To simplify 456/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 456 by 8 gives 57,
and dividing 1000 by 8 gives 125. Thus, 456/1000 simplifies to 57/125
Refer to the step by step work further to learn how to find what is 0.456 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.456
What to be found:
What is 0.456 as a fraction in simplest form?
step 2 Write 0.456 as a simple fraction.
0.456/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.456/1.
Since the decimal 0.456 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.456/1 to make numerator as a whole number.
(0.456 x 1000)/(1 x 1000) = 456/1000
step 4
456 thousandths is the fraction form of 0.456, however, it can be reduced further. To simplify 456/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 456 and 1000 cancel each other.
456/1000 = (8 x 57)/(8 x 125)
= 57/125
456/1000 = 57/125
Hence,
0.456 as a fraction is 57/125.
Converting decimals like 0.456 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.456 to fraction form. In this case, 0.456 can be recognized as 456 thousandths. So, the fraction form of 0.456 is 456/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 456/1000 in its simplest form.