What is 0.0746 as a fraction?
0.0746 as a fraction is 746/10000 and its simplest form is 373/5000.
Learn how to find what is 0.0746 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 0.0746 in its equivalent fraction form. It is required to recognize the decimal point 0.0746 as 746 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0746 as a fraction and how it can be found easily.
Summary: 0.0746 in fraction form
0.0746 can be recognized as 746 ten-thousandths, which can be represented as 746/10000 in fraction form. The simplest form of 746/10000 is 373/5000. Therefore, 0.0746 as a fraction is 373/5000.
Write 0.0746 as a fraction in simplest form.
0.0746 = (?)
0.0746 = 0.0746/1
= (0.0746/1) x (10000/10000) //0.0746 can be recognized as 746 ten-thousandths.
= 746/10000 //746 ten-thousandths is equal to 746/10000 and it can be simplified further.
= (746/2)/(10000/2) //2 is the GCF of 746 and 10000. Divide both 746 and 10000 by the GCF 2 to simplify the fraction.
= 373/5000
0.0746 = 373/5000
0.0746 in its simplest fraction form is 373/5000.
So, what is the fraction of 0.0746?
It is 746/10000 in fraction. To simplify 746/10000, 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 10000 by 2 gives 5000. Thus, 746/10000 simplifies to 373/5000
Refer to the step by step work further to learn how to find what is 0.0746 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0746
What to be found:
What is 0.0746 as a fraction in simplest form?
step 2 Write 0.0746 as a simple fraction.
0.0746/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0746/1.
Since the decimal 0.0746 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0746/1 to make numerator as a whole number.
(0.0746 x 10000)/(1 x 10000) = 746/10000
step 4
746 ten-thousandths is the fraction form of 0.0746, however, it can be reduced further. To simplify 746/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 746 and 10000 cancel each other.
746/10000 = (2 x 373)/(2 x 5000)
= 373/5000
746/10000 = 373/5000
Hence,
0.0746 as a fraction is 373/5000.
Converting decimals like 0.0746 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0746 to fraction form. In this case, 0.0746 can be recognized as 746 ten-thousandths. So, the fraction form of 0.0746 is 746/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 746/10000 in its simplest form.