Math Problem Statement

Find the least common denominator (LCD) of the fractions and rewrite each as an equivalent fraction that has the LCD as its denominator. Then add or subtract fractions with different denominators by finding a common denominator.

Solution

The image contains two sections related to fractions:

Section 1: Least Common Denominator (LCD)

The first section asks to find the Least Common Denominator (LCD) of a set of fractions and then convert each fraction into an equivalent fraction that has the LCD as the denominator.

Fractions provided:

  1. 23\frac{2}{3} and 56\frac{5}{6}
  2. 712\frac{7}{12} and 58\frac{5}{8}
  3. 12\frac{1}{2}, 34\frac{3}{4}, and 58\frac{5}{8}
  4. 13\frac{1}{3}, 16\frac{1}{6}, and 59\frac{5}{9}
  5. 59\frac{5}{9} and 712\frac{7}{12}

Section 2: Adding and Subtracting Fractions

The second section involves adding or subtracting fractions. The instructions indicate to work on fractions with different denominators by first finding a common denominator.

Problems provided:

  1. 14+23\frac{1}{4} + \frac{2}{3}
  2. 2512\frac{2}{5} - \frac{1}{2}
  3. 38+14\frac{3}{8} + \frac{1}{4}
  4. 512+13\frac{5}{12} + \frac{1}{3}
  5. 71014\frac{7}{10} - \frac{1}{4}
  6. 3812\frac{3}{8} - \frac{1}{2}
  7. 56+712\frac{5}{6} + \frac{7}{12}
  8. 78310\frac{7}{8} - \frac{3}{10}

Would you like a detailed solution for each of these problems?

Here are five related questions you might consider next:

  1. How do you find the Least Common Denominator for a set of fractions?
  2. What are the steps to add or subtract fractions with different denominators?
  3. How do you simplify fractions after performing addition or subtraction?
  4. Can you explain how to convert an improper fraction to a mixed number?
  5. How can you determine if two fractions are equivalent?

Tip: When adding or subtracting fractions, always check if they can be simplified after performing the operation.

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Math Problem Analysis

Mathematical Concepts

Fractions
Least Common Denominator (LCD)
Adding Fractions
Subtracting Fractions

Formulas

Finding the Least Common Denominator (LCD)
Converting fractions to have a common denominator
Adding and subtracting fractions

Theorems

Basic Fraction Theorems

Suitable Grade Level

Grades 5-7