Math Problem Statement

Alicia walked 2 2/5 km to college, 1 1/3 km to the mall, and 2 2/5 km back home. How many kilometers did Alicia walk in total?

Solution

The problem in the image asks to find the total distance Alicia walked. Let's break it down.

Alicia walked:

  1. 2252 \frac{2}{5} km to college.
  2. 1131 \frac{1}{3} km to the mall.
  3. 2252 \frac{2}{5} km back home.

Step 1: Convert mixed fractions to improper fractions

  1. 225=1252 \frac{2}{5} = \frac{12}{5}
  2. 113=431 \frac{1}{3} = \frac{4}{3}
  3. 225=1252 \frac{2}{5} = \frac{12}{5} (same as the first distance)

Step 2: Find the common denominator

To add these fractions, we need a common denominator. The least common denominator (LCD) of 5 and 3 is 15.

  • 125=3615\frac{12}{5} = \frac{36}{15}
  • ( \frac{4}{

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Math Problem Analysis

Mathematical Concepts

Fractions
Mixed Numbers
Addition of Fractions

Formulas

Convert mixed fractions to improper fractions
Find least common denominator (LCD)
Add fractions with the same denominator

Theorems

Fraction addition

Suitable Grade Level

Grades 5-7