What is 0.0075 as a fraction?
0.0075 as a fraction is 75/10000 and its simplest form is 3/400.
Learn how to find what is 0.0075 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 0.0075 in its equivalent fraction form. It is required to recognize the decimal point 0.0075 as 75 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0075 as a fraction and how it can be found easily.
Summary: 0.0075 in fraction form
0.0075 can be recognized as 75 ten-thousandths, which can be represented as 75/10000 in fraction form. The simplest form of 75/10000 is 3/400. Therefore, 0.0075 as a fraction is 3/400.
Write 0.0075 as a fraction in simplest form.
0.0075 = (?)
0.0075 = 0.0075/1
= (0.0075/1) x (10000/10000) //0.0075 can be recognized as 75 ten-thousandths.
= 75/10000 //75 ten-thousandths is equal to 75/10000 and it can be simplified further.
= (75/25)/(10000/25) //25 is the GCF of 75 and 10000. Divide both 75 and 10000 by the GCF 25 to simplify the fraction.
= 3/400
0.0075 = 3/400
0.0075 in its simplest fraction form is 3/400.
So, what is the fraction of 0.0075?
It is 75/10000 in fraction. To simplify 75/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 75 by 25 gives 3,
and dividing 10000 by 25 gives 400. Thus, 75/10000 simplifies to 3/400
Refer to the step by step work further to learn how to find what is 0.0075 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0075
What to be found:
What is 0.0075 as a fraction in simplest form?
step 2 Write 0.0075 as a simple fraction.
0.0075/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0075/1.
Since the decimal 0.0075 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0075/1 to make numerator as a whole number.
(0.0075 x 10000)/(1 x 10000) = 75/10000
step 4
75 ten-thousandths is the fraction form of 0.0075, however, it can be reduced further. To simplify 75/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 75 and 10000 cancel each other.
75/10000 = (25 x 3)/(25 x 400)
= 3/400
75/10000 = 3/400
Hence,
0.0075 as a fraction is 3/400.
Converting decimals like 0.0075 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0075 to fraction form. In this case, 0.0075 can be recognized as 75 ten-thousandths. So, the fraction form of 0.0075 is 75/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 75/10000 in its simplest form.