Describe and correct the error in finding the sum.
3/10 + (- 1/10) = 3+1/10 = 4/10 = 2/5
You took 10 as LCM for the first two terms but the second term is negative
In your second step you have taken a positive sign
Second step must be
(3-1)/10
The error in finding the sum is in the step 3+1/10 = 4/10.
To correct it, you should find the least common denominator (LCD) of the fractions, which in this case is 10. Then, you can add the numerators together while keeping the denominator the same:
3/10 + (-1/10) = (3 + (-1))/10 = 2/10 = 1/5
So, the correct sum is 1/5.
The error in the calculation is the step where we added the numerators and kept the denominator the same. Let's go through the correct way of finding the sum:
To add fractions, we need a common denominator, which in this case is 10. The first fraction, 3/10, already has a denominator of 10, so we don't need to change anything there. The second fraction, -1/10, also has a denominator of 10, so we can proceed with adding the numerators.
Correct calculation:
3/10 + (-1/10) = (3 + (-1))/10 = 2/10 = 1/5
So, the correct sum is 1/5.