Question

Describe and correct the error in finding the sum x 2 5/6+(-8/15)=13/6+(-8/15)=65+(-16)/30=49/30=1 19/30

Answer 1

To correct the error in finding the sum x 2 5/6+(-8/15), convert the mixed number to an improper fraction, convert the negative fraction to an equivalent fraction with the same denominator, and then add the fractions together.

Step-by-step explanation:

The error in finding the sum x 2 5/6+(-8/15) lies in the step where the fraction is converted to a decimal by dividing the numerator by the denominator. To correct this error, you need to find a common denominator to add the fractions together.

1. Convert 2 5/6 to an improper fraction: 2 5/6 = (2*6 + 5)/6 = 17/6
2. Convert -8/15 to an equivalent fraction with a denominator of 6: (-8/15) * (2/2) = -16/30
3. Add the fractions together: 17/6 + (-16/30) = 65/30 + (-16/30) = (65 - 16)/30 = 49/30

So, the correct sum is 49/30 or 1 19/30.