Math Problem Statement

Add. 1 8 + 1 4

Solution

To add the fractions 18\frac{1}{8} and 14\frac{1}{4}, follow these steps:

Step 1: Find a common denominator

The least common denominator (LCD) of 8 and 4 is 8.

Step 2: Rewrite the fractions

Now, express both fractions with a denominator of 8:

  • 18\frac{1}{8} stays as it is.
  • 14=28\frac{1}{4} = \frac{2}{8} (multiply both the numerator and denominator by 2).

Step 3: Add the fractions

Now that both fractions have the same denominator, add the numerators: 18+28=38\frac{1}{8} + \frac{2}{8} = \frac{3}{8}

Final Answer:

18+14=38\frac{1}{8} + \frac{1}{4} = \frac{3}{8}

Would you like further explanation on any step or need help with another problem?

Here are 5 related questions:

  1. What is the sum of 16+13\frac{1}{6} + \frac{1}{3}?
  2. How do you subtract fractions with different denominators?
  3. What is the least common denominator of 15\frac{1}{5} and 110\frac{1}{10}?
  4. How do you multiply two fractions?
  5. What is the mixed number form of 94\frac{9}{4}?

Tip: When adding fractions, always find a common denominator first to ensure the fractions can be combined easily.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions

Formulas

To add fractions, find a common denominator and then add the numerators.

Theorems

Least Common Denominator (LCD)

Suitable Grade Level

Grades 4-6