What is 0.448 as a fraction?
0.448 as a fraction is 448/1000 and its simplest form is 56/125.
Learn how to find what is 0.448 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 0.448 in its equivalent fraction form. It is required to recognize the decimal point 0.448 as 448 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.448 as a fraction and how it can be found easily.
Summary: 0.448 in fraction form
0.448 can be recognized as 448 thousandths, which can be represented as 448/1000 in fraction form. The simplest form of 448/1000 is 56/125. Therefore, 0.448 as a fraction is 56/125.
Write 0.448 as a fraction in simplest form.
0.448 = (?)
0.448 = 0.448/1
= (0.448/1) x (1000/1000) //0.448 can be recognized as 448 thousandths.
= 448/1000 //448 thousandths is equal to 448/1000 and it can be simplified further.
= (448/8)/(1000/8) //8 is the GCF of 448 and 1000. Divide both 448 and 1000 by the GCF 8 to simplify the fraction.
= 56/125
0.448 = 56/125
0.448 in its simplest fraction form is 56/125.
So, what is the fraction of 0.448?
It is 448/1000 in fraction. To simplify 448/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 448 by 8 gives 56,
and dividing 1000 by 8 gives 125. Thus, 448/1000 simplifies to 56/125
Refer to the step by step work further to learn how to find what is 0.448 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.448
What to be found:
What is 0.448 as a fraction in simplest form?
step 2 Write 0.448 as a simple fraction.
0.448/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.448/1.
Since the decimal 0.448 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.448/1 to make numerator as a whole number.
(0.448 x 1000)/(1 x 1000) = 448/1000
step 4
448 thousandths is the fraction form of 0.448, however, it can be reduced further. To simplify 448/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 448 and 1000 cancel each other.
448/1000 = (8 x 56)/(8 x 125)
= 56/125
448/1000 = 56/125
Hence,
0.448 as a fraction is 56/125.
Converting decimals like 0.448 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.448 to fraction form. In this case, 0.448 can be recognized as 448 thousandths. So, the fraction form of 0.448 is 448/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 448/1000 in its simplest form.