Máximo had 4/6 of a pancake. Kayla gave him another 5/6 of a similar pancake. How much pancake did Máximo have in the end?
Understand the Problem
The question asks us to calculate how much pancake Máximo has after receiving an additional amount from Kayla. It involves adding the fractions of pancakes he already has and the portion given to him.
Answer
Máximo has $\frac{3}{2}$ pancakes, or 1.5 pancakes.
Answer for screen readers
Máximo has $\frac{3}{2}$ pancakes, or 1.5 pancakes.
Steps to Solve
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Identify the fractions
Máximo had $\frac{4}{6}$ of a pancake. Kayla gave him $\frac{5}{6}$ of a pancake. -
Common denominator check
Both fractions have the same denominator (6), so we can add them directly. -
Add the fractions
To find out how much pancake Máximo has in total, we add the two fractions:
$$ \frac{4}{6} + \frac{5}{6} = \frac{4 + 5}{6} = \frac{9}{6} $$
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Simplify the result
We can simplify $\frac{9}{6}$ by dividing both the numerator and the denominator by 3:
$$ \frac{9 \div 3}{6 \div 3} = \frac{3}{2} $$
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Convert to mixed number (if desired)
The fraction $\frac{3}{2}$ can be expressed as a mixed number:
$$ \frac{3}{2} = 1\frac{1}{2} $$
Máximo has $\frac{3}{2}$ pancakes, or 1.5 pancakes.
More Information
Máximo received more than one whole pancake after receiving the portions from Kayla. Therefore, he can enjoy 1 full pancake and half of another.
Tips
- Not finding a common denominator before adding fractions.
- Forgetting to simplify the result after adding fractions.
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