Find the value of each expression mentally.

Six friends were each given a list of 5 fractions. They each chose 1 fraction and wrote clues about their choice. Use their clues to identify the fraction they each chose.

The “li’ is a traditional unit of length in China and some East Asian countries.

Here are the walking distances between the home of a student in China and the places he visits regularly.

• school: li
• library: li

• market: li
• badminton club: li

1. Which is a shorter distance from the student’s home:

   1. His school or the library?
   2. The market or the badminton club?
   3. The library or the market?

2. A student in the United States walks kilometer (km) to school. These number lines show how 1 kilometer compares to 1 li.

   

   Which student walks a longer distance to school? Use the number lines to show your reasoning.

3. Explain why you can’t just compare the fractions and to see which student walks a longer distance.