What is 0.0774 as a fraction?
0.0774 as a fraction is 774/10000 and its simplest form is 387/5000.
Learn how to find what is 0.0774 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 0.0774 in its equivalent fraction form. It is required to recognize the decimal point 0.0774 as 774 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0774 as a fraction and how it can be found easily.
Summary: 0.0774 in fraction form
0.0774 can be recognized as 774 ten-thousandths, which can be represented as 774/10000 in fraction form. The simplest form of 774/10000 is 387/5000. Therefore, 0.0774 as a fraction is 387/5000.
Write 0.0774 as a fraction in simplest form.
0.0774 = (?)
0.0774 = 0.0774/1
= (0.0774/1) x (10000/10000) //0.0774 can be recognized as 774 ten-thousandths.
= 774/10000 //774 ten-thousandths is equal to 774/10000 and it can be simplified further.
= (774/2)/(10000/2) //2 is the GCF of 774 and 10000. Divide both 774 and 10000 by the GCF 2 to simplify the fraction.
= 387/5000
0.0774 = 387/5000
0.0774 in its simplest fraction form is 387/5000.
So, what is the fraction of 0.0774?
It is 774/10000 in fraction. To simplify 774/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 774 by 2 gives 387,
and dividing 10000 by 2 gives 5000. Thus, 774/10000 simplifies to 387/5000
Refer to the step by step work further to learn how to find what is 0.0774 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0774
What to be found:
What is 0.0774 as a fraction in simplest form?
step 2 Write 0.0774 as a simple fraction.
0.0774/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0774/1.
Since the decimal 0.0774 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0774/1 to make numerator as a whole number.
(0.0774 x 10000)/(1 x 10000) = 774/10000
step 4
774 ten-thousandths is the fraction form of 0.0774, however, it can be reduced further. To simplify 774/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 774 and 10000 cancel each other.
774/10000 = (2 x 387)/(2 x 5000)
= 387/5000
774/10000 = 387/5000
Hence,
0.0774 as a fraction is 387/5000.
Converting decimals like 0.0774 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0774 to fraction form. In this case, 0.0774 can be recognized as 774 ten-thousandths. So, the fraction form of 0.0774 is 774/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 774/10000 in its simplest form.