Math Problem Statement

Add the following fractions: 2/15 + 1/3

Solution

To add the fractions 215+13\frac{2}{15} + \frac{1}{3}, follow these steps:

1. Find the Least Common Denominator (LCD):

  • The denominators are 1515 and 33.
  • The LCD of 1515 and 33 is 1515.

2. Rewrite the fractions with a common denominator:

  • The first fraction, 215\frac{2}{15}, already has a denominator of 1515.
  • Rewrite the second fraction 13\frac{1}{3} with a denominator of 1515: 13=1×53×5=515.\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}.

3. Add the numerators:

Now that both fractions have the same denominator: 215+515=2+515=715.\frac{2}{15} + \frac{5}{15} = \frac{2 + 5}{15} = \frac{7}{15}.

4. Simplify the result:

The fraction 715\frac{7}{15} is already in its simplest form.

Final Answer:

715\frac{7}{15}


Would you like a step-by-step breakdown or another example? Let me know!

Related Questions:

  1. How do you subtract 21513\frac{2}{15} - \frac{1}{3}?
  2. How do you add fractions with different denominators like 49+23\frac{4}{9} + \frac{2}{3}?
  3. What is the least common denominator (LCD) for 1212 and 1818?
  4. How do you simplify 812\frac{8}{12} to its lowest terms?
  5. How do you convert improper fractions to mixed numbers?

Tip:

When adding fractions, always ensure the denominators are the same before adding the numerators. Use the least common denominator (LCD) to simplify the process.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator (LCD)

Formulas

a/b + c/d = (a*d + c*b) / (b*d)

Theorems

Least Common Denominator (LCD)

Suitable Grade Level

Grades 5-7