Math Problem Statement

Add 7/16 + 7/20

Solution

To add the fractions 716+720\frac{7}{16} + \frac{7}{20}, we need to follow these steps:

Step 1: Find a common denominator

The denominators are 16 and 20. The least common denominator (LCD) of 16 and 20 is 80. We will convert both fractions to have a denominator of 80.

716=7×516×5=3580\frac{7}{16} = \frac{7 \times 5}{16 \times 5} = \frac{35}{80} 720=7×420×4=2880\frac{7}{20} = \frac{7 \times 4}{20 \times 4} = \frac{28}{80}

Step 2: Add the numerators

Now that both fractions have the same denominator, we can add them: 3580+2880=35+2880=6380\frac{35}{80} + \frac{28}{80} = \frac{35 + 28}{80} = \frac{63}{80}

Step 3: Simplify the result (if possible)

The fraction 6380\frac{63}{80} is already in its simplest form, as 63 and 80 have no common factors other than 1.

So, the final answer is: 6380\frac{63}{80}

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you find the least common denominator of two fractions?
  2. What is the process to simplify a fraction?
  3. Can two fractions always be added without finding a common denominator?
  4. How do you subtract fractions with different denominators?
  5. What is the importance of simplifying fractions in real-world scenarios?

Tip: When adding or subtracting fractions, always check if they can be simplified at the end. This ensures your final answer is in its simplest form!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

Finding the least common denominator (LCD)
Converting fractions to equivalent fractions with a common denominator
Addition of fractions with like denominators

Theorems

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Suitable Grade Level

Grade 5-7