Math Problem Statement

add the fractions 2/3 and 5/6

Solution

To add the fractions 23\frac{2}{3} and 56\frac{5}{6}, follow these steps:

  1. Find a common denominator: The denominators are 3 and 6. The least common denominator (LCD) is 6.

  2. Convert the fractions:

    • 23\frac{2}{3} can be converted by multiplying both the numerator and the denominator by 2: 2×23×2=46\frac{2 \times 2}{3 \times 2} = \frac{4}{6}
    • 56\frac{5}{6} already has the denominator 6, so it remains 56\frac{5}{6}.
  3. Add the fractions: Now that the fractions have the same denominator, add the numerators: 46+56=4+56=96\frac{4}{6} + \frac{5}{6} = \frac{4 + 5}{6} = \frac{9}{6}

  4. Simplify the result: The fraction 96\frac{9}{6} can be simplified by dividing both the numerator and the denominator by their greatest common divisor (3): 9÷36÷3=32\frac{9 \div 3}{6 \div 3} = \frac{3}{2}

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

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you subtract 56\frac{5}{6} from 23\frac{2}{3}?
  2. What is the sum of 23\frac{2}{3} and 49\frac{4}{9}?
  3. How do you multiply 23\frac{2}{3} by 56\frac{5}{6}?
  4. What is the process for dividing 56\frac{5}{6} by 23\frac{2}{3}?
  5. How can you add 23\frac{2}{3}, 56\frac{5}{6}, and 12\frac{1}{2}?

Tip: Always simplify fractions to their lowest terms to make the result easier to interpret!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Simplification

Formulas

Finding a common denominator
Adding fractions with a common denominator

Theorems

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Suitable Grade Level

Grades 5-6