Math Problem Statement

\frac{2}{1 + \frac{1}{3}}

Solution

The image shows a mathematical expression involving a fraction. Specifically, it represents:

21+13\frac{2}{1 + \frac{1}{3}}

Steps to solve:

  1. First, simplify the denominator 1+131 + \frac{1}{3}. 1+13=33+13=431 + \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}

  2. Now, substitute this back into the expression: 243\frac{2}{\frac{4}{3}}

  3. To simplify 243\frac{2}{\frac{4}{3}}, multiply by the reciprocal of 43\frac{4}{3}: 243=2×34=64=32\frac{2}{\frac{4}{3}} = 2 \times \frac{3}{4} = \frac{6}{4} = \frac{3}{2}

So, the expression simplifies to 32\frac{3}{2} or 1.5.

Would you like further details or have any questions?


Here are some related questions you might explore:

  1. What is the general process for simplifying complex fractions?
  2. How do you add and subtract fractions with different denominators?
  3. How do you divide fractions?
  4. What real-world situations can involve complex fractions like this?
  5. How can improper fractions be converted to mixed numbers?

Tip: When dividing fractions, remember to multiply by the reciprocal of the divisor!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Reciprocals
Simplification

Formulas

a + \frac{b}{c} = \frac{ac + b}{c}
a \div \frac{b}{c} = a \times \frac{c}{b}

Theorems

-

Suitable Grade Level

Grades 6-8