Math Problem Statement

find the sum: 3/8+1/2

Solution

To find the sum of 38+12\frac{3}{8} + \frac{1}{2}, follow these steps:

  1. Find a common denominator: The denominators are 8 and 2. The least common denominator (LCD) is 8.

  2. Convert the fractions:

    • 38\frac{3}{8} already has 8 as the denominator.
    • Convert 12\frac{1}{2} to have 8 as the denominator: 12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
  3. Add the fractions: Now that both fractions have the same denominator, you can add them: 38+48=3+48=78\frac{3}{8} + \frac{4}{8} = \frac{3 + 4}{8} = \frac{7}{8}

So, the sum is 78\frac{7}{8}.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. How do you add fractions with different denominators?
  2. What is the least common denominator and how do you find it?
  3. How do you subtract fractions with unlike denominators?
  4. How do you simplify a fraction after addition?
  5. How do you convert an improper fraction to a mixed number?

Tip: Always simplify fractions if possible to get the final answer in its simplest form.

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Math Problem Analysis

Mathematical Concepts

Fractions
Adding Fractions

Formulas

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Theorems

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Suitable Grade Level

Grades 5-8