What is 0.738 as a fraction?
0.738 as a fraction is 738/1000 and its simplest form is 369/500.
Learn how to find what is 0.738 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 0.738 in its equivalent fraction form. It is required to recognize the decimal point 0.738 as 738 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.738 as a fraction and how it can be found easily.
Summary: 0.738 in fraction form
0.738 can be recognized as 738 thousandths, which can be represented as 738/1000 in fraction form. The simplest form of 738/1000 is 369/500. Therefore, 0.738 as a fraction is 369/500.
Write 0.738 as a fraction in simplest form.
0.738 = (?)
0.738 = 0.738/1
= (0.738/1) x (1000/1000) //0.738 can be recognized as 738 thousandths.
= 738/1000 //738 thousandths is equal to 738/1000 and it can be simplified further.
= (738/2)/(1000/2) //2 is the GCF of 738 and 1000. Divide both 738 and 1000 by the GCF 2 to simplify the fraction.
= 369/500
0.738 = 369/500
0.738 in its simplest fraction form is 369/500.
So, what is the fraction of 0.738?
It is 738/1000 in fraction. To simplify 738/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 738 by 2 gives 369,
and dividing 1000 by 2 gives 500. Thus, 738/1000 simplifies to 369/500
Refer to the step by step work further to learn how to find what is 0.738 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.738
What to be found:
What is 0.738 as a fraction in simplest form?
step 2 Write 0.738 as a simple fraction.
0.738/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.738/1.
Since the decimal 0.738 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.738/1 to make numerator as a whole number.
(0.738 x 1000)/(1 x 1000) = 738/1000
step 4
738 thousandths is the fraction form of 0.738, however, it can be reduced further. To simplify 738/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 738 and 1000 cancel each other.
738/1000 = (2 x 369)/(2 x 500)
= 369/500
738/1000 = 369/500
Hence,
0.738 as a fraction is 369/500.
Converting decimals like 0.738 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.738 to fraction form. In this case, 0.738 can be recognized as 738 thousandths. So, the fraction form of 0.738 is 738/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 738/1000 in its simplest form.