Math Problem Statement

1/5 + 1/4

Solution

To add the fractions 15\frac{1}{5} and 14\frac{1}{4}, we need to find a common denominator. The least common denominator (LCD) of 5 and 4 is 20.

Now, let's rewrite each fraction with this common denominator:

15=420\frac{1}{5} = \frac{4}{20} 14=520\frac{1}{4} = \frac{5}{20}

Now, we can add the two fractions:

420+520=920\frac{4}{20} + \frac{5}{20} = \frac{9}{20}

So, 15+14=920\frac{1}{5} + \frac{1}{4} = \frac{9}{20}.

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

Here are some related questions for further exploration:

  1. How do you subtract fractions with different denominators?
  2. What is the greatest common denominator and how do you find it?
  3. Can you simplify the fraction 920\frac{9}{20}?
  4. How do you multiply fractions?
  5. What is the difference between a fraction's numerator and denominator?

Tip: Always look for the least common denominator (LCD) to make fraction addition or subtraction easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator (LCD)

Formulas

Finding LCD
Adding Fractions: a/b + c/d = (ad + bc) / bd

Theorems

Least Common Denominator

Suitable Grade Level

Grades 4-6