Math Problem Statement

5/6 + 2/3

Solution

To add the fractions 56+23\frac{5}{6} + \frac{2}{3}, we first need a common denominator.

Steps:

  1. The denominators are 6 and 3. The least common denominator (LCD) is 6.
  2. Convert 23\frac{2}{3} to have the same denominator as 56\frac{5}{6}. Multiply both the numerator and denominator of 23\frac{2}{3} by 2: 23=2×23×2=46\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
  3. Now add the two fractions: 56+46=5+46=96\frac{5}{6} + \frac{4}{6} = \frac{5 + 4}{6} = \frac{9}{6}
  4. Simplify 96\frac{9}{6}: 96=32\frac{9}{6} = \frac{3}{2}

So, 56+23=32\frac{5}{6} + \frac{2}{3} = \frac{3}{2}, or 1.5 as a decimal.

Would you like more details or have any questions?

Related Questions:

  1. How do you find the least common denominator for fractions?
  2. How do you add fractions with different denominators?
  3. How do you convert improper fractions to mixed numbers?
  4. How do you simplify fractions?
  5. How do you convert fractions to decimals?

Tip:

When adding or subtracting fractions, always find a common denominator first, then add or subtract the numerators directly.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator
Simplifying Fractions

Formulas

LCD for fractions
Adding fractions: a/b + c/d = (ad + bc)/bd

Theorems

None required

Suitable Grade Level

Grades 4-6