What is 0.40625 as a fraction?
0.40625 as a fraction is 40625/100000 and its simplest form is 13/32.
Learn how to find what is 0.40625 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 0.40625 in its equivalent fraction form. It is required to recognize the decimal point 0.40625 as 40625 hundred-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.40625 as a fraction and how it can be found easily.
Summary: 0.40625 in fraction form
0.40625 can be recognized as 40625 hundred-thousandths, which can be represented as 40625/100000 in fraction form. The simplest form of 40625/100000 is 13/32. Therefore, 0.40625 as a fraction is 13/32.
Write 0.40625 as a fraction in simplest form.
0.40625 = (?)
0.40625 = 0.40625/1
= (0.40625/1) x (100000/100000) //0.40625 can be recognized as 40625 hundred-thousandths.
= 40625/100000 //40625 hundred-thousandths is equal to 40625/100000 and it can be simplified further.
= (40625/3125)/(100000/3125) //3125 is the GCF of 40625 and 100000. Divide both 40625 and 100000 by the GCF 3125 to simplify the fraction.
= 13/32
0.40625 = 13/32
0.40625 in its simplest fraction form is 13/32.
So, what is the fraction of 0.40625?
It is 40625/100000 in fraction. To simplify 40625/100000, both the numerator and denominator can be divided by their greatest common divisor, which is 3125 in this case. Dividing 40625 by 3125 gives 13,
and dividing 100000 by 3125 gives 32. Thus, 40625/100000 simplifies to 13/32
Refer to the step by step work further to learn how to find what is 0.40625 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.40625
What to be found:
What is 0.40625 as a fraction in simplest form?
step 2 Write 0.40625 as a simple fraction.
0.40625/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.40625/1.
Since the decimal 0.40625 has 5 digits after the decimal point, multiply 100000 with both numerator and denominator of 0.40625/1 to make numerator as a whole number.
(0.40625 x 100000)/(1 x 100000) = 40625/100000
step 4
40625 hundred-thousandths is the fraction form of 0.40625, however, it can be reduced further. To simplify 40625/100000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 40625 and 100000 cancel each other.
40625/100000 = (3125 x 13)/(3125 x 32)
= 13/32
40625/100000 = 13/32
Hence,
0.40625 as a fraction is 13/32.
Converting decimals like 0.40625 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.40625 to fraction form. In this case, 0.40625 can be recognized as 40625 hundred-thousandths. So, the fraction form of 0.40625 is 40625/100000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 40625/100000 in its simplest form.