Math Problem Statement

Solve: -3/5+5/6

Solution

To solve 35+56-\frac{3}{5} + \frac{5}{6}, we need to find a common denominator.

  1. The least common denominator (LCD) of 5 and 6 is 30.
  2. Convert both fractions to have a denominator of 30: 35=1830,56=2530-\frac{3}{5} = -\frac{18}{30}, \quad \frac{5}{6} = \frac{25}{30}
  3. Now add the fractions: 1830+2530=18+2530=730-\frac{18}{30} + \frac{25}{30} = \frac{-18 + 25}{30} = \frac{7}{30}

Thus, the solution is 730\frac{7}{30}.

Would you like a deeper explanation or have any questions?

Here are 5 related questions:

  1. How do you find the least common denominator of two fractions?
  2. How can you convert an improper fraction into a mixed number?
  3. What is the difference between adding and subtracting fractions?
  4. How do you handle fractions with negative numerators or denominators?
  5. What are some strategies to simplify fractions before adding them?

Tip: When adding fractions, always look for the least common denominator to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

Addition of fractions: a/b + c/d = (a*d + b*c) / (b*d)

Theorems

Least Common Denominator (LCD) for fractions

Suitable Grade Level

Grades 6-8