Math Problem Statement

1/3 + 3/5

Solution

To add 13+35\frac{1}{3} + \frac{3}{5}, we need to find a common denominator.

Step 1: Find the Least Common Denominator (LCD)

The denominators are 3 and 5. The LCD of 3 and 5 is 15.

Step 2: Rewrite each fraction with the common denominator of 15

  • 13=515\frac{1}{3} = \frac{5}{15} (multiply both the numerator and denominator by 5)
  • 35=915\frac{3}{5} = \frac{9}{15} (multiply both the numerator and denominator by 3)

Step 3: Add the fractions

Now that both fractions have the same denominator: 515+915=5+915=1415\frac{5}{15} + \frac{9}{15} = \frac{5 + 9}{15} = \frac{14}{15}

So, the sum of 13+35=1415\frac{1}{3} + \frac{3}{5} = \frac{14}{15}.

Would you like further explanation or help with something else?

Here are 5 related questions:

  1. How do you find the least common denominator?
  2. Can you subtract fractions with different denominators? How?
  3. What is the process for multiplying fractions?
  4. How do you simplify fractions?
  5. What happens if the numerator is larger than the denominator?

Tip: Always try to simplify fractions after performing operations if possible!

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Math Problem Analysis

Mathematical Concepts

Fraction Addition
Least Common Denominator

Formulas

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \)

Theorems

Least Common Denominator (LCD)

Suitable Grade Level

Grades 4-6