What is 0.748 as a fraction?
0.748 as a fraction is 748/1000 and its simplest form is 187/250.
Learn how to find what is 0.748 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 0.748 in its equivalent fraction form. It is required to recognize the decimal point 0.748 as 748 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.748 as a fraction and how it can be found easily.
Summary: 0.748 in fraction form
0.748 can be recognized as 748 thousandths, which can be represented as 748/1000 in fraction form. The simplest form of 748/1000 is 187/250. Therefore, 0.748 as a fraction is 187/250.
Write 0.748 as a fraction in simplest form.
0.748 = (?)
0.748 = 0.748/1
= (0.748/1) x (1000/1000) //0.748 can be recognized as 748 thousandths.
= 748/1000 //748 thousandths is equal to 748/1000 and it can be simplified further.
= (748/4)/(1000/4) //4 is the GCF of 748 and 1000. Divide both 748 and 1000 by the GCF 4 to simplify the fraction.
= 187/250
0.748 = 187/250
0.748 in its simplest fraction form is 187/250.
So, what is the fraction of 0.748?
It is 748/1000 in fraction. To simplify 748/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 748 by 4 gives 187,
and dividing 1000 by 4 gives 250. Thus, 748/1000 simplifies to 187/250
Refer to the step by step work further to learn how to find what is 0.748 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.748
What to be found:
What is 0.748 as a fraction in simplest form?
step 2 Write 0.748 as a simple fraction.
0.748/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.748/1.
Since the decimal 0.748 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.748/1 to make numerator as a whole number.
(0.748 x 1000)/(1 x 1000) = 748/1000
step 4
748 thousandths is the fraction form of 0.748, however, it can be reduced further. To simplify 748/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 748 and 1000 cancel each other.
748/1000 = (4 x 187)/(4 x 250)
= 187/250
748/1000 = 187/250
Hence,
0.748 as a fraction is 187/250.
Converting decimals like 0.748 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.748 to fraction form. In this case, 0.748 can be recognized as 748 thousandths. So, the fraction form of 0.748 is 748/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 748/1000 in its simplest form.