Final answer:
To find -7/8 - 2 1/6, convert the mixed number to an improper fraction, find a common denominator, subtract the fractions, and simplify the result.
Step-by-step explanation:
To find -7/8 - 2 1/6, we need to convert the mixed number 2 1/6 into an improper fraction. To do this, we multiply the whole number (2) by the denominator (6) and add the numerator (1): 2 x 6 + 1 = 13. So 2 1/6 is equal to 13/6. Now we can subtract -7/8 from 13/6. We need to find a common denominator, which is 24. Converting -7/8 to a fraction with denominator 24, we get -21/24. Subtracting -21/24 from 13/6, we get (13/6) - (-21/24) = 13/6 + 21/24 = 91/24. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1. So the final answer is 91/24, which can also be expressed as the mixed number 3 19/24.
Learn more about Arithmetic Operations