Math Problem Statement
Solution
The problem you're working on asks to calculate the unit rate of Chen's biking speed, given that Chen bikes miles in of an hour.
To calculate the unit rate (miles per hour), follow these steps:
-
Convert mixed fraction to improper fraction:
-
Set up the unit rate calculation:
The unit rate is the distance divided by the time: -
Divide the fractions:
Dividing by a fraction is the same as multiplying by its reciprocal: -
Simplify the expression:
The 's cancel out, leaving:
So, Chen's unit rate is 6 miles per hour.
The answer you entered (1.04 miles per hour) is incorrect. The correct answer is 6 miles per hour.
Do you need further details or clarifications? Here are 5 related questions to practice:
- How do you convert a mixed fraction into an improper fraction?
- How do you divide fractions in general?
- If Chen biked 3 miles in of an hour, what would his speed be?
- What is the significance of unit rate in real-world problems?
- How can simplifying fractions help in solving rates and ratios?
Tip: When dividing by a fraction, remember to multiply by its reciprocal!
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Math Problem Analysis
Mathematical Concepts
Rates
Fractions
Division of Fractions
Formulas
Unit rate = Distance / Time
Mixed fraction conversion: a b/c = (a * c + b) / c
Dividing fractions: a/b ÷ c/d = a/b * d/c
Theorems
Reciprocal Rule: Dividing by a fraction is the same as multiplying by its reciprocal
Suitable Grade Level
Grade 6-8