Question
What is the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction ?
Answers
GPT 3.5
To find the sum of these two fractions, we need to first find a common denominator. In this case, the common denominator is 2b.
Start fraction 1 over 2b end fraction can be rewritten as start fraction b over 2b end fraction.
So, start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction would be equal to:
(start fraction b over 2b end fraction) + (start fraction b over 2 end fraction)
= (b + 2b) / (2b)
= 3b / 2b
= 3 / 2
Therefore, the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is 3/2.
Start fraction 1 over 2b end fraction can be rewritten as start fraction b over 2b end fraction.
So, start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction would be equal to:
(start fraction b over 2b end fraction) + (start fraction b over 2 end fraction)
= (b + 2b) / (2b)
= 3b / 2b
= 3 / 2
Therefore, the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is 3/2.
check your equation in each process
GPT 3.5
Apologies for the error in my previous response. Let's correct the calculation:
We need to find the sum of the fractions: start fraction 1 over 2b end fraction and start fraction b over 2 end fraction.
To find the sum, we first need to find a common denominator, which in this case is 2b.
Start fraction 1 over 2b end fraction is already in the correct form.
To write start fraction b over 2 end fraction with the common denominator of 2b, we can express it as start fraction b * b over 2b * b end fraction, which simplifies to start fraction b^2 over 2b^2 end fraction.
Therefore, start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is:
start fraction 1 over 2b end fraction + start fraction b over 2 end fraction
= 1 / 2b + b / 2b^2
= (2b^2 + b) / 2b^2
= (b(2b + 1)) / 2b^2
So, the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is start fraction b(2b + 1) over 2b^2 end fraction.
We need to find the sum of the fractions: start fraction 1 over 2b end fraction and start fraction b over 2 end fraction.
To find the sum, we first need to find a common denominator, which in this case is 2b.
Start fraction 1 over 2b end fraction is already in the correct form.
To write start fraction b over 2 end fraction with the common denominator of 2b, we can express it as start fraction b * b over 2b * b end fraction, which simplifies to start fraction b^2 over 2b^2 end fraction.
Therefore, start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is:
start fraction 1 over 2b end fraction + start fraction b over 2 end fraction
= 1 / 2b + b / 2b^2
= (2b^2 + b) / 2b^2
= (b(2b + 1)) / 2b^2
So, the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is start fraction b(2b + 1) over 2b^2 end fraction.
wrong, try write the equation in standard form
GPT 3.5
Let's find the sum of the fractions:
Start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction:
To add two fractions, we need to find a common denominator. The common denominator in this case is 2b.
Rewrite the fractions with the common denominator:
(start fraction 1 over 2b end fraction) = (b / 2b)
(start fraction b over 2 end fraction) = (b^2 / 2b)
Now, adding them together:
(b / 2b) + (b^2 / 2b) = (b + b^2) / 2b
Therefore, the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is start fraction b + b^2 over 2b end fraction.
Start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction:
To add two fractions, we need to find a common denominator. The common denominator in this case is 2b.
Rewrite the fractions with the common denominator:
(start fraction 1 over 2b end fraction) = (b / 2b)
(start fraction b over 2 end fraction) = (b^2 / 2b)
Now, adding them together:
(b / 2b) + (b^2 / 2b) = (b + b^2) / 2b
Therefore, the sum of start fraction 1 over 2b end fraction plus start fraction b over 2 end fraction is start fraction b + b^2 over 2b end fraction.