Scenario: Running Competition - Compare performance times using fractions and decimals!
In a 1-kilometer race, Xiao Ming finished in 5.2 minutes, and Xiao Hong finished in 5¼ minutes. Who ran faster, and by how much?
Problem: Compare 5.2 minutes vs 5¼ minutes
Step 1: Convert mixed number to decimal
5¼ = 5 + ¼ = 5 + 0.25 = 5.25 minutes
Step 2: Compare the times
Xiao Ming: 5.2 minutes
Xiao Hong: 5.25 minutes
Since 5.2 < 5.25, Xiao Ming ran faster
Step 3: Calculate the difference
5.25 - 5.2 = 0.05 minutes = 3 seconds
Answer: Xiao Ming ran faster by 0.05 minutes (3 seconds).
¼ = 0.25
½ = 0.5
¾ = 0.75
⅓ = 0.333...
⅔ = 0.666...
0.25 = ¼
0.5 = ½
0.75 = ¾
0.2 = ⅕
0.4 = ⅖
3.5 + ½ = ?
Solution: 3.5 + 0.5 = 4.0
2¾ - 1.2 = ?
Solution: 2.75 - 1.2 = 1.55
0.75 × ⅔ = ?
Solution: 0.75 × ⅔ = ¾ × ⅔ = 6/12 = ½ = 0.5
You buy 1.5 kilograms of apples at $3½ per kilogram. How much do you pay in total?
Solution: 1.5 kg × $3.5/kg = $5.25
Convert 3½ to 3.5, then multiply: 1.5 × 3.5 = 5.25
Compare: 4.8 vs 4⅗. Which is larger?
Your solution:
Calculate: 2.4 + 1⅓ - 0.8
Your solution: