What is 0.714 as a fraction?
0.714 as a fraction is 714/1000 and its simplest form is 357/500.
Learn how to find what is 0.714 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 0.714 in its equivalent fraction form. It is required to recognize the decimal point 0.714 as 714 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.714 as a fraction and how it can be found easily.
Summary: 0.714 in fraction form
0.714 can be recognized as 714 thousandths, which can be represented as 714/1000 in fraction form. The simplest form of 714/1000 is 357/500. Therefore, 0.714 as a fraction is 357/500.
Write 0.714 as a fraction in simplest form.
0.714 = (?)
0.714 = 0.714/1
= (0.714/1) x (1000/1000) //0.714 can be recognized as 714 thousandths.
= 714/1000 //714 thousandths is equal to 714/1000 and it can be simplified further.
= (714/2)/(1000/2) //2 is the GCF of 714 and 1000. Divide both 714 and 1000 by the GCF 2 to simplify the fraction.
= 357/500
0.714 = 357/500
0.714 in its simplest fraction form is 357/500.
So, what is the fraction of 0.714?
It is 714/1000 in fraction. To simplify 714/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 714 by 2 gives 357,
and dividing 1000 by 2 gives 500. Thus, 714/1000 simplifies to 357/500
Refer to the step by step work further to learn how to find what is 0.714 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.714
What to be found:
What is 0.714 as a fraction in simplest form?
step 2 Write 0.714 as a simple fraction.
0.714/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.714/1.
Since the decimal 0.714 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.714/1 to make numerator as a whole number.
(0.714 x 1000)/(1 x 1000) = 714/1000
step 4
714 thousandths is the fraction form of 0.714, however, it can be reduced further. To simplify 714/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 714 and 1000 cancel each other.
714/1000 = (2 x 357)/(2 x 500)
= 357/500
714/1000 = 357/500
Hence,
0.714 as a fraction is 357/500.
Converting decimals like 0.714 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.714 to fraction form. In this case, 0.714 can be recognized as 714 thousandths. So, the fraction form of 0.714 is 714/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 714/1000 in its simplest form.