Math Problem Statement

-5/6+1 2/3

Solution

To solve 56+123-\frac{5}{6} + 1 \frac{2}{3}, we first convert the mixed number into an improper fraction:

123=531 \frac{2}{3} = \frac{5}{3}

Now, we solve the expression:

56+53-\frac{5}{6} + \frac{5}{3}

We need a common denominator. The least common denominator of 6 and 3 is 6. Rewrite 53\frac{5}{3} as 106\frac{10}{6}:

56+106=5+106=56-\frac{5}{6} + \frac{10}{6} = \frac{-5 + 10}{6} = \frac{5}{6}

Thus, the result is:

56\frac{5}{6}

Would you like more details on any step?

Here are 5 related questions:

  1. How do you convert mixed numbers to improper fractions?
  2. What is the least common denominator, and how is it found?
  3. How can you add fractions with different denominators?
  4. What are common mistakes when working with negative fractions?
  5. How do you subtract fractions?

Tip: Always simplify fractions before performing operations to make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Mixed Numbers
Addition of Fractions
Negative Numbers

Formulas

Mixed number to improper fraction conversion: a b/c = (a * c + b)/c
Addition of fractions with common denominators: a/b + c/b = (a + c)/b

Theorems

Least Common Denominator

Suitable Grade Level

Grades 5-7