Kyle had some pies. He gave 3/8 of a pie to Caleb and 4/8 of a pie to Axel. He had 6/8 of a pie left. How many pies did Kyle have at first?
Understand the Problem
The question is asking how many whole pies Kyle had initially after giving away portions to Caleb and Axel. Specifically, he gave away 3/8 and 4/8 of a pie, and is left with 6/8 of a pie. We need to determine his starting quantity of pies based on these fractions.
Answer
Kyle initially had $ \frac{13}{8} $ pies.
Answer for screen readers
Kyle initially had $ \frac{13}{8} $ pies, or 1 whole pie and $ \frac{5}{8} $ of another pie.
Steps to Solve
- Determine the total amount given away
Kyle gave away $ \frac{3}{8} $ of a pie to Caleb and $ \frac{4}{8} $ of a pie to Axel.
To find the total amount given away, add these two fractions: $$ \frac{3}{8} + \frac{4}{8} = \frac{7}{8} $$
- Calculate the total amount of pie Kyle had initially
Kyle is left with $ \frac{6}{8} $ of a pie. To find out how much he had before giving away pies, we will add the amount he gave away to the amount he has left: $$ \text{Total pies} = \frac{6}{8} + \frac{7}{8} = \frac{13}{8} $$
- Convert the total pies to whole pies
Now convert $ \frac{13}{8} $ to a mixed number or whole pies: $$ \frac{13}{8} = 1 \frac{5}{8} \quad \text{(which means 1 whole pie and } \frac{5}{8} \text{ of another pie)} $$
Kyle initially had $ \frac{13}{8} $ pies, or 1 whole pie and $ \frac{5}{8} $ of another pie.
More Information
This calculation illustrates how to solve problems involving the addition of fractions, particularly in real-life scenarios like sharing pies. It emphasizes understanding how the total amounts relate to what remains and what has been given away.
Tips
- Not converting fractions properly: Ensure that when adding fractions, the denominators are the same.
- Ignoring the whole number part: When converting to mixed numbers, it’s easy to forget to account for the whole number and the fractional part separately.
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