What is 0.708 as a fraction?
0.708 as a fraction is 708/1000 and its simplest form is 177/250.
Learn how to find what is 0.708 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 0.708 in its equivalent fraction form. It is required to recognize the decimal point 0.708 as 708 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.708 as a fraction and how it can be found easily.
Summary: 0.708 in fraction form
0.708 can be recognized as 708 thousandths, which can be represented as 708/1000 in fraction form. The simplest form of 708/1000 is 177/250. Therefore, 0.708 as a fraction is 177/250.
Write 0.708 as a fraction in simplest form.
0.708 = (?)
0.708 = 0.708/1
= (0.708/1) x (1000/1000) //0.708 can be recognized as 708 thousandths.
= 708/1000 //708 thousandths is equal to 708/1000 and it can be simplified further.
= (708/4)/(1000/4) //4 is the GCF of 708 and 1000. Divide both 708 and 1000 by the GCF 4 to simplify the fraction.
= 177/250
0.708 = 177/250
0.708 in its simplest fraction form is 177/250.
So, what is the fraction of 0.708?
It is 708/1000 in fraction. To simplify 708/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 708 by 4 gives 177,
and dividing 1000 by 4 gives 250. Thus, 708/1000 simplifies to 177/250
Refer to the step by step work further to learn how to find what is 0.708 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.708
What to be found:
What is 0.708 as a fraction in simplest form?
step 2 Write 0.708 as a simple fraction.
0.708/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.708/1.
Since the decimal 0.708 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.708/1 to make numerator as a whole number.
(0.708 x 1000)/(1 x 1000) = 708/1000
step 4
708 thousandths is the fraction form of 0.708, however, it can be reduced further. To simplify 708/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 708 and 1000 cancel each other.
708/1000 = (4 x 177)/(4 x 250)
= 177/250
708/1000 = 177/250
Hence,
0.708 as a fraction is 177/250.
Converting decimals like 0.708 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.708 to fraction form. In this case, 0.708 can be recognized as 708 thousandths. So, the fraction form of 0.708 is 708/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 708/1000 in its simplest form.