Remove double negative: First, we need to rewrite the expression by removing the double negative. The double negative turns into a positive, so the expression becomes -85 + 34.
Find common denominator: Next, we need to find a common denominator for the two fractions. The least common multiple of 8 and 3 is 24, so we will convert both fractions to have a denominator of 24.
Convert −5/8 to 24: To convert -85 to a denominator of 24, we multiply both the numerator and the denominator by 3. This gives us -8×35×3 = -2415.
Convert 4/3 to 24: To convert 34 to a denominator of 24, we multiply both the numerator and the denominator by 8. This gives us 3×84×8 = 2432.
Add fractions with 24: Now we can add the two fractions with the common denominator. -2415 + 2432 = 2432−2415.
Subtract numerators: Subtracting the numerators, we get 2432−15 = 2417.
Simplify fraction: The fraction2417 is already in its simplest form because 17 and 24 have no common factors other than 1.
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