What is 0.71875 as a fraction?
0.71875 as a fraction is 71875/100000 and its simplest form is 23/32.
Learn how to find what is 0.71875 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 0.71875 in its equivalent fraction form. It is required to recognize the decimal point 0.71875 as 71875 hundred-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.71875 as a fraction and how it can be found easily.
Summary: 0.71875 in fraction form
0.71875 can be recognized as 71875 hundred-thousandths, which can be represented as 71875/100000 in fraction form. The simplest form of 71875/100000 is 23/32. Therefore, 0.71875 as a fraction is 23/32.
Write 0.71875 as a fraction in simplest form.
0.71875 = (?)
0.71875 = 0.71875/1
= (0.71875/1) x (100000/100000) //0.71875 can be recognized as 71875 hundred-thousandths.
= 71875/100000 //71875 hundred-thousandths is equal to 71875/100000 and it can be simplified further.
= (71875/3125)/(100000/3125) //3125 is the GCF of 71875 and 100000. Divide both 71875 and 100000 by the GCF 3125 to simplify the fraction.
= 23/32
0.71875 = 23/32
0.71875 in its simplest fraction form is 23/32.
So, what is the fraction of 0.71875?
It is 71875/100000 in fraction. To simplify 71875/100000, both the numerator and denominator can be divided by their greatest common divisor, which is 3125 in this case. Dividing 71875 by 3125 gives 23,
and dividing 100000 by 3125 gives 32. Thus, 71875/100000 simplifies to 23/32
Refer to the step by step work further to learn how to find what is 0.71875 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.71875
What to be found:
What is 0.71875 as a fraction in simplest form?
step 2 Write 0.71875 as a simple fraction.
0.71875/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.71875/1.
Since the decimal 0.71875 has 5 digits after the decimal point, multiply 100000 with both numerator and denominator of 0.71875/1 to make numerator as a whole number.
(0.71875 x 100000)/(1 x 100000) = 71875/100000
step 4
71875 hundred-thousandths is the fraction form of 0.71875, however, it can be reduced further. To simplify 71875/100000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 71875 and 100000 cancel each other.
71875/100000 = (3125 x 23)/(3125 x 32)
= 23/32
71875/100000 = 23/32
Hence,
0.71875 as a fraction is 23/32.
Converting decimals like 0.71875 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.71875 to fraction form. In this case, 0.71875 can be recognized as 71875 hundred-thousandths. So, the fraction form of 0.71875 is 71875/100000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 71875/100000 in its simplest form.