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How to Calculate Equal Daily Dog Food Portions from 7 Cans Over 3 Days
Mathematics
Grade 5 of Primary School
Question Content
Paloma is taking care of the Romano family's dogs. The Romanos leave 7 cans of dog food for the 3 days they are away. Paloma feeds the dogs an equal amount of food each day. How many cans of food do the dogs get each day? Show your work.
Correct Answer
7/3 or 2 and 1/3 cans
Detailed Solution Steps
1
Step 1: Identify the total amount of dog food and the number of days. The total food is 7 cans, and the number of days is 3.
2
Step 2: To find the equal amount of food per day, divide the total number of cans by the number of days. Set up the division operation: 7 ÷ 3.
3
Step 3: Calculate the result. 7 divided by 3 can be written as the improper fraction 7/3, or as the mixed number 2 and 1/3.
Knowledge Points Involved
1
Division of Whole Numbers Resulting in Fractions
This refers to dividing one whole number by another where the dividend is not a multiple of the divisor, resulting in a fraction or mixed number. It is used when splitting a total quantity into equal parts where the total cannot be evenly distributed, such as splitting 7 items into 3 equal groups.
2
Improper Fractions and Mixed Numbers
An improper fraction is a fraction where the numerator is greater than or equal to the denominator, like 7/3. A mixed number combines a whole number and a proper fraction, like 2 and 1/3. They are two different ways to represent the same non-whole quantity, and can be converted between each other depending on the context of the problem.
3
Real-World Fraction Application
This involves using fraction operations to solve practical, everyday problems, such as dividing resources (like food, time, or materials) into equal parts over a set period or among a group. It helps translate real-life scenarios into mathematical calculations to find a fair or equal distribution.
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