Math Problem Statement

2/7 - 3/4 + 5/3

Solution

To solve the expression 2734+53\frac{2}{7} - \frac{3}{4} + \frac{5}{3}, we'll follow these steps:

  1. Find a common denominator: The denominators are 7, 4, and 3. The least common denominator (LCD) for these is 84.

  2. Convert each fraction to have the common denominator:

    • 27=2×127×12=2484\frac{2}{7} = \frac{2 \times 12}{7 \times 12} = \frac{24}{84}
    • 34=3×214×21=6384\frac{3}{4} = \frac{3 \times 21}{4 \times 21} = \frac{63}{84}
    • 53=5×283×28=14084\frac{5}{3} = \frac{5 \times 28}{3 \times 28} = \frac{140}{84}
  3. Perform the operations: 24846384+14084=2463+14084=10184\frac{24}{84} - \frac{63}{84} + \frac{140}{84} = \frac{24 - 63 + 140}{84} = \frac{101}{84}

So, the final answer is 10184\frac{101}{84}.

Would you like more details or have any questions about this solution?

Here are 5 related questions:

  1. How do you find the least common denominator of two or more fractions?
  2. Can you simplify the fraction 10184\frac{101}{84} further?
  3. How do you convert improper fractions to mixed numbers?
  4. What is the result of subtracting and adding fractions with different denominators without finding a common denominator?
  5. How do you solve expressions with more than three fractions?

Tip: When adding or subtracting fractions, always ensure they have the same denominator before performing the operation.

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Math Problem Analysis

Mathematical Concepts

Fractions
Operations with Fractions
Least Common Denominator

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8