What is 0.716 as a fraction?
0.716 as a fraction is 716/1000 and its simplest form is 179/250.
Learn how to find what is 0.716 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 0.716 in its equivalent fraction form. It is required to recognize the decimal point 0.716 as 716 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.716 as a fraction and how it can be found easily.
Summary: 0.716 in fraction form
0.716 can be recognized as 716 thousandths, which can be represented as 716/1000 in fraction form. The simplest form of 716/1000 is 179/250. Therefore, 0.716 as a fraction is 179/250.
Write 0.716 as a fraction in simplest form.
0.716 = (?)
0.716 = 0.716/1
= (0.716/1) x (1000/1000) //0.716 can be recognized as 716 thousandths.
= 716/1000 //716 thousandths is equal to 716/1000 and it can be simplified further.
= (716/4)/(1000/4) //4 is the GCF of 716 and 1000. Divide both 716 and 1000 by the GCF 4 to simplify the fraction.
= 179/250
0.716 = 179/250
0.716 in its simplest fraction form is 179/250.
So, what is the fraction of 0.716?
It is 716/1000 in fraction. To simplify 716/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 716 by 4 gives 179,
and dividing 1000 by 4 gives 250. Thus, 716/1000 simplifies to 179/250
Refer to the step by step work further to learn how to find what is 0.716 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.716
What to be found:
What is 0.716 as a fraction in simplest form?
step 2 Write 0.716 as a simple fraction.
0.716/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.716/1.
Since the decimal 0.716 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.716/1 to make numerator as a whole number.
(0.716 x 1000)/(1 x 1000) = 716/1000
step 4
716 thousandths is the fraction form of 0.716, however, it can be reduced further. To simplify 716/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 716 and 1000 cancel each other.
716/1000 = (4 x 179)/(4 x 250)
= 179/250
716/1000 = 179/250
Hence,
0.716 as a fraction is 179/250.
Converting decimals like 0.716 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.716 to fraction form. In this case, 0.716 can be recognized as 716 thousandths. So, the fraction form of 0.716 is 716/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 716/1000 in its simplest form.