Math Problem Statement

-3/8 + 1/4 - 1/2

Solution

To solve 38+1412-\frac{3}{8} + \frac{1}{4} - \frac{1}{2}, we can first express all fractions with a common denominator. The least common denominator for 88, 44, and 22 is 88.

  1. Rewrite each fraction with a denominator of 88:

    • 38-\frac{3}{8} stays as 38-\frac{3}{8}.
    • 14=28\frac{1}{4} = \frac{2}{8}.
    • 12=48\frac{1}{2} = \frac{4}{8}.
  2. Substitute and add: 38+2848=3+248=58-\frac{3}{8} + \frac{2}{8} - \frac{4}{8} = \frac{-3 + 2 - 4}{8} = \frac{-5}{8}

So, the answer is: 58-\frac{5}{8}

Would you like more details or have any questions?

Here are five related questions:

  1. What is the method for finding a common denominator between different fractions?
  2. How can we simplify fractions after adding or subtracting them?
  3. How do we handle mixed numbers in addition or subtraction?
  4. How can we convert improper fractions to mixed numbers?
  5. What are some common mistakes to watch for when adding and subtracting fractions?

Tip: Always simplify fractions after any operation to ensure your answer is in its simplest form.

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Math Problem Analysis

Mathematical Concepts

Fraction Addition and Subtraction
Common Denominators

Formulas

Converting fractions to a common denominator
Addition and subtraction of fractions

Theorems

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Suitable Grade Level

Grades 5-7