What is 0.788 as a fraction?
0.788 as a fraction is 788/1000 and its simplest form is 197/250.
Learn how to find what is 0.788 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 0.788 in its equivalent fraction form. It is required to recognize the decimal point 0.788 as 788 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.788 as a fraction and how it can be found easily.
Summary: 0.788 in fraction form
0.788 can be recognized as 788 thousandths, which can be represented as 788/1000 in fraction form. The simplest form of 788/1000 is 197/250. Therefore, 0.788 as a fraction is 197/250.
Write 0.788 as a fraction in simplest form.
0.788 = (?)
0.788 = 0.788/1
= (0.788/1) x (1000/1000) //0.788 can be recognized as 788 thousandths.
= 788/1000 //788 thousandths is equal to 788/1000 and it can be simplified further.
= (788/4)/(1000/4) //4 is the GCF of 788 and 1000. Divide both 788 and 1000 by the GCF 4 to simplify the fraction.
= 197/250
0.788 = 197/250
0.788 in its simplest fraction form is 197/250.
So, what is the fraction of 0.788?
It is 788/1000 in fraction. To simplify 788/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 788 by 4 gives 197,
and dividing 1000 by 4 gives 250. Thus, 788/1000 simplifies to 197/250
Refer to the step by step work further to learn how to find what is 0.788 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.788
What to be found:
What is 0.788 as a fraction in simplest form?
step 2 Write 0.788 as a simple fraction.
0.788/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.788/1.
Since the decimal 0.788 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.788/1 to make numerator as a whole number.
(0.788 x 1000)/(1 x 1000) = 788/1000
step 4
788 thousandths is the fraction form of 0.788, however, it can be reduced further. To simplify 788/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 788 and 1000 cancel each other.
788/1000 = (4 x 197)/(4 x 250)
= 197/250
788/1000 = 197/250
Hence,
0.788 as a fraction is 197/250.
Converting decimals like 0.788 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.788 to fraction form. In this case, 0.788 can be recognized as 788 thousandths. So, the fraction form of 0.788 is 788/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 788/1000 in its simplest form.