Math Problem Statement

Evaluate each expression by rewriting the fractions with like denominators. Problems include fractions such as 1/3 + 1/5, 7/9 - 1/6, and others involving addition and subtraction of fractions with different denominators.

Solution

The worksheet is about adding and subtracting fractions with unlike denominators. Let's solve a few problems step by step.

Example Solution:

Problem 1: 13+15\frac{1}{3} + \frac{1}{5}

  1. Find the Least Common Denominator (LCD) for 3 and 5, which is 15.
  2. Convert the fractions:
    • 13=515\frac{1}{3} = \frac{5}{15}
    • 15=315\frac{1}{5} = \frac{3}{15}
  3. Add the fractions: 515+315=815\frac{5}{15} + \frac{3}{15} = \frac{8}{15} Final Answer: 815\frac{8}{15}

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Related Questions:

  1. How do you determine the least common denominator (LCD) of two fractions?
  2. What is the process for converting fractions to have the same denominator?
  3. How do you subtract fractions with different denominators?
  4. How does fraction addition differ from fraction multiplication?
  5. What real-life situations require adding or subtracting fractions?

Tip:

Always check if your final fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator!

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Math Problem Analysis

Mathematical Concepts

Fractions
Adding Fractions
Subtracting Fractions
Least Common Denominator (LCD)

Formulas

Addition of fractions: a/b + c/d = (ad + bc) / bd
Subtraction of fractions: a/b - c/d = (ad - bc) / bd
Finding LCD of fractions

Theorems

Fractions with unlike denominators can be added or subtracted by rewriting them with a common denominator.

Suitable Grade Level

Grades 4-6