What is 0.3125 as a fraction?
0.3125 as a fraction is 3125/10000 and its simplest form is 5/16.
Learn how to find what is 0.3125 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 0.3125 in its equivalent fraction form. It is required to recognize the decimal point 0.3125 as 3125 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.3125 as a fraction and how it can be found easily.
Summary: 0.3125 in fraction form
0.3125 can be recognized as 3125 ten-thousandths, which can be represented as 3125/10000 in fraction form. The simplest form of 3125/10000 is 5/16. Therefore, 0.3125 as a fraction is 5/16.
Write 0.3125 as a fraction in simplest form.
0.3125 = (?)
0.3125 = 0.3125/1
= (0.3125/1) x (10000/10000) //0.3125 can be recognized as 3125 ten-thousandths.
= 3125/10000 //3125 ten-thousandths is equal to 3125/10000 and it can be simplified further.
= (3125/625)/(10000/625) //625 is the GCF of 3125 and 10000. Divide both 3125 and 10000 by the GCF 625 to simplify the fraction.
= 5/16
0.3125 = 5/16
0.3125 in its simplest fraction form is 5/16.
So, what is the fraction of 0.3125?
It is 3125/10000 in fraction. To simplify 3125/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 625 in this case. Dividing 3125 by 625 gives 5,
and dividing 10000 by 625 gives 16. Thus, 3125/10000 simplifies to 5/16
Refer to the step by step work further to learn how to find what is 0.3125 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.3125
What to be found:
What is 0.3125 as a fraction in simplest form?
step 2 Write 0.3125 as a simple fraction.
0.3125/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.3125/1.
Since the decimal 0.3125 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.3125/1 to make numerator as a whole number.
(0.3125 x 10000)/(1 x 10000) = 3125/10000
step 4
3125 ten-thousandths is the fraction form of 0.3125, however, it can be reduced further. To simplify 3125/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 3125 and 10000 cancel each other.
3125/10000 = (625 x 5)/(625 x 16)
= 5/16
3125/10000 = 5/16
Hence,
0.3125 as a fraction is 5/16.
Converting decimals like 0.3125 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.3125 to fraction form. In this case, 0.3125 can be recognized as 3125 ten-thousandths. So, the fraction form of 0.3125 is 3125/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 3125/10000 in its simplest form.