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Grade 5 Math Problem: Verify Kofi's Equal Daily Running Distance Calculation
Mathematics
Grade 5 of Primary School
Question Content
Kofi plans to run 30 miles this week. He wants to run the same number of miles each day of the week. He says he will run 7/30 mile each day. Is he correct? Explain.
Correct Answer
No, Kofi is not correct. He should run 30/7 (or approximately 4.29) miles each day.
Detailed Solution Steps
1
Step 1: Identify the total distance and the number of equal parts. The total distance Kofi wants to run is 30 miles, and he needs to split this equally over 7 days (1 week = 7 days).
2
Step 2: Set up the division operation for equal sharing. To find the distance per day, divide the total distance by the number of days: 30 ÷ 7.
3
Step 3: Calculate the result. 30 divided by 7 is written as the fraction 30/7, which is approximately 4.29 miles per day.
4
Step 4: Compare with Kofi's answer. Kofi claimed he would run 7/30 mile per day, which is approximately 0.23 miles. This is not equal to 30/7, so his answer is incorrect.
Knowledge Points Involved
1
Equal Sharing with Division
This is the concept of splitting a total quantity into a specified number of equal parts, which is calculated by dividing the total quantity by the number of parts. It is used in scenarios like dividing resources, distances, or amounts evenly across groups or time periods.
2
Fraction Representation of Division
When dividing two numbers, the result can be written as a fraction where the dividend is the numerator and the divisor is the denominator (a ÷ b = a/b, where b ≠ 0). This is used to represent non-whole number results of division accurately.
3
Fraction Comparison
To determine if two fractions are equal, you can compare their values by converting them to decimals, finding a common denominator, or cross-multiplying. This is used to verify if a calculated or claimed value matches the correct result.
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