What is 0.746 as a fraction?
0.746 as a fraction is 746/1000 and its simplest form is 373/500.
Learn how to find what is 0.746 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 0.746 in its equivalent fraction form. It is required to recognize the decimal point 0.746 as 746 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.746 as a fraction and how it can be found easily.
Summary: 0.746 in fraction form
0.746 can be recognized as 746 thousandths, which can be represented as 746/1000 in fraction form. The simplest form of 746/1000 is 373/500. Therefore, 0.746 as a fraction is 373/500.
Write 0.746 as a fraction in simplest form.
0.746 = (?)
0.746 = 0.746/1
= (0.746/1) x (1000/1000) //0.746 can be recognized as 746 thousandths.
= 746/1000 //746 thousandths is equal to 746/1000 and it can be simplified further.
= (746/2)/(1000/2) //2 is the GCF of 746 and 1000. Divide both 746 and 1000 by the GCF 2 to simplify the fraction.
= 373/500
0.746 = 373/500
0.746 in its simplest fraction form is 373/500.
So, what is the fraction of 0.746?
It is 746/1000 in fraction. To simplify 746/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 746 by 2 gives 373,
and dividing 1000 by 2 gives 500. Thus, 746/1000 simplifies to 373/500
Refer to the step by step work further to learn how to find what is 0.746 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.746
What to be found:
What is 0.746 as a fraction in simplest form?
step 2 Write 0.746 as a simple fraction.
0.746/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.746/1.
Since the decimal 0.746 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.746/1 to make numerator as a whole number.
(0.746 x 1000)/(1 x 1000) = 746/1000
step 4
746 thousandths is the fraction form of 0.746, however, it can be reduced further. To simplify 746/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 746 and 1000 cancel each other.
746/1000 = (2 x 373)/(2 x 500)
= 373/500
746/1000 = 373/500
Hence,
0.746 as a fraction is 373/500.
Converting decimals like 0.746 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.746 to fraction form. In this case, 0.746 can be recognized as 746 thousandths. So, the fraction form of 0.746 is 746/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 746/1000 in its simplest form.