What is 0.744 as a fraction?
0.744 as a fraction is 744/1000 and its simplest form is 93/125.
Learn how to find what is 0.744 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 0.744 in its equivalent fraction form. It is required to recognize the decimal point 0.744 as 744 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.744 as a fraction and how it can be found easily.
Summary: 0.744 in fraction form
0.744 can be recognized as 744 thousandths, which can be represented as 744/1000 in fraction form. The simplest form of 744/1000 is 93/125. Therefore, 0.744 as a fraction is 93/125.
Write 0.744 as a fraction in simplest form.
0.744 = (?)
0.744 = 0.744/1
= (0.744/1) x (1000/1000) //0.744 can be recognized as 744 thousandths.
= 744/1000 //744 thousandths is equal to 744/1000 and it can be simplified further.
= (744/8)/(1000/8) //8 is the GCF of 744 and 1000. Divide both 744 and 1000 by the GCF 8 to simplify the fraction.
= 93/125
0.744 = 93/125
0.744 in its simplest fraction form is 93/125.
So, what is the fraction of 0.744?
It is 744/1000 in fraction. To simplify 744/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 744 by 8 gives 93,
and dividing 1000 by 8 gives 125. Thus, 744/1000 simplifies to 93/125
Refer to the step by step work further to learn how to find what is 0.744 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.744
What to be found:
What is 0.744 as a fraction in simplest form?
step 2 Write 0.744 as a simple fraction.
0.744/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.744/1.
Since the decimal 0.744 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.744/1 to make numerator as a whole number.
(0.744 x 1000)/(1 x 1000) = 744/1000
step 4
744 thousandths is the fraction form of 0.744, however, it can be reduced further. To simplify 744/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 744 and 1000 cancel each other.
744/1000 = (8 x 93)/(8 x 125)
= 93/125
744/1000 = 93/125
Hence,
0.744 as a fraction is 93/125.
Converting decimals like 0.744 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.744 to fraction form. In this case, 0.744 can be recognized as 744 thousandths. So, the fraction form of 0.744 is 744/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 744/1000 in its simplest form.