Math Problem Statement

2/3 + 1/6

Solution

To add the fractions 23\frac{2}{3} and 16\frac{1}{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 to have the same denominator:

    • 23\frac{2}{3} can be converted to a fraction with a denominator of 6 by multiplying both the numerator and the denominator by 2: 23=2×23×2=46\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
    • 16\frac{1}{6} is already with a denominator of 6, so it remains 16\frac{1}{6}.
  3. Add the fractions: 46+16=4+16=56\frac{4}{6} + \frac{1}{6} = \frac{4 + 1}{6} = \frac{5}{6}

So, 23+16=56\frac{2}{3} + \frac{1}{6} = \frac{5}{6}.

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:

  1. What is 34+25\frac{3}{4} + \frac{2}{5}?
  2. How do you subtract fractions with different denominators?
  3. What is 5814\frac{5}{8} - \frac{1}{4}?
  4. How do you multiply two fractions together?
  5. What is 710+35\frac{7}{10} + \frac{3}{5}?
  6. How do you divide one fraction by another?
  7. What is the sum of 12\frac{1}{2} and 13\frac{1}{3}?
  8. How do you simplify the fraction 1218\frac{12}{18}?

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

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Math Problem Analysis

Mathematical Concepts

Fractions
Arithmetic

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6