My elder sister divided a watermelon into 18 parts. My friend ate 4. How much did we eat among us? How much of the watermelon did I eat as compared to my friend? What amount of wat... My elder sister divided a watermelon into 18 parts. My friend ate 4. How much did we eat among us? How much of the watermelon did I eat as compared to my friend? What amount of watermelon remained?
Understand the Problem
The image contains a mathematical problem involving fractions, specifically dealing with the subtraction of fractions and comparing parts of a watermelon eaten by two people. It presents a method to solve the problem step-by-step, including determining the remaining portion of the watermelon.
Answer
The portion of watermelon remained is $\frac{7}{18}$.
Answer for screen readers
The portion of watermelon remained is $\frac{7}{18}$.
Steps to Solve
- Determine the total parts of the watermelon
The total number of parts into which the watermelon is divided is given as 18.
- Find the fraction eaten by each person
You ate 7 parts, so the fraction you ate is:
$$ \text{Your fraction} = \frac{7}{18} $$
Your friend ate 4 parts, so the fraction they ate is:
$$ \text{Friend's fraction} = \frac{4}{18} $$
- Add the fractions eaten by both
To find the total fraction eaten by both:
$$ \text{Total fraction eaten} = \frac{7}{18} + \frac{4}{18} = \frac{7 + 4}{18} = \frac{11}{18} $$
- Calculate portion of watermelon you ate in comparison to your friend
To compare the parts you ate to your friend's:
$$ \text{Difference} = \frac{7}{18} - \frac{4}{18} = \frac{7 - 4}{18} = \frac{3}{18} = \frac{1}{6} $$
- Determine the remaining portion of the watermelon
To find the remaining portion after both have eaten:
$$ \text{Remaining portion} = \frac{18 - 11}{18} = \frac{7}{18} $$
The portion of watermelon remained is $\frac{7}{18}$.
More Information
This problem illustrates real-life applications of fractions, particularly in sharing and comparing quantities. Understanding how to manipulate fractions is key to solving many everyday mathematical problems.
Tips
- Miscalculating with fractions: Ensure the denominators are consistent when adding or subtracting fractions.
- Forgetting to simplify: After calculating differences or sums, always check if the resulting fraction can be simplified.
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