Math Problem Statement

add 1/12 and 5/6

Solution

To add 112\frac{1}{12} and 56\frac{5}{6}, we first need to find a common denominator.

  1. The denominators are 12 and 6. The least common denominator (LCD) of 12 and 6 is 12.
  2. Rewrite 56\frac{5}{6} with 12 as the denominator: 56=5×26×2=1012\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}
  3. Now, add 112\frac{1}{12} and 1012\frac{10}{12}: 112+1012=1+1012=1112\frac{1}{12} + \frac{10}{12} = \frac{1+10}{12} = \frac{11}{12}

Thus, 112+56=1112\frac{1}{12} + \frac{5}{6} = \frac{11}{12}.

Would you like more details on how the LCD was determined or any other steps? Here are some related questions:

  1. How do you subtract fractions with different denominators?
  2. Can you explain how to simplify fractions?
  3. What is the process for multiplying fractions?
  4. How do you convert improper fractions to mixed numbers?
  5. Can you explain how to divide fractions?

Tip: Always simplify your fractions to their lowest terms after any operation.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator (LCD)

Formulas

\frac{a}{b} + \frac{c}{d} = \frac{a(d) + c(b)}{b(d)}

Theorems

Least Common Denominator (LCD)

Suitable Grade Level

Grades 4-6