Fraction of Bread Left After Breakfast and Lunch: Explained

Have you ever wondered how much bread is left after a man eats 1/3 of a loaf for breakfast and 2/3 of the remaining bread for lunch? This seemingly simple question can be a bit tricky if you’re not familiar with fractions. But don’t worry, we’re here to break it down for you. By the end of this article, you’ll be able to solve this problem with ease and understand the concept behind it.

Understanding the Problem

First, let’s understand the problem. The man eats 1/3 of the bread for breakfast. This means he leaves 2/3 of the bread. Then, he eats 2/3 of the remaining bread for lunch. The question is, what fraction of the bread is left?

Breaking Down the Fractions

Let’s break down the fractions. After breakfast, 2/3 of the bread is left. This is because 1 – 1/3 equals 2/3. Now, for lunch, the man eats 2/3 of the remaining bread. To find out how much bread is left, we need to multiply the fraction of bread left after breakfast (2/3) by the fraction of bread eaten for lunch (2/3).

Calculating the Fraction

So, 2/3 (bread left after breakfast) multiplied by 2/3 (bread eaten for lunch) equals 4/9. This means that 4/9 of the bread was eaten for lunch. But we want to find out how much bread is left, not how much was eaten. So, we subtract the fraction of bread eaten for lunch from the fraction of bread left after breakfast. That is, 2/3 – 4/9.

Final Calculation

To subtract these fractions, we need to find a common denominator. The common denominator of 3 and 9 is 9. So, we convert 2/3 to 6/9. Now, we can subtract 4/9 from 6/9, which equals 2/9. Therefore, 2/9 of the bread is left after the man eats for breakfast and lunch.

Conclusion

So, there you have it. After eating 1/3 of the bread for breakfast and 2/3 of the remaining bread for lunch, the man is left with 2/9 of the bread. This problem may seem complex at first, but once you break down the fractions and understand the steps, it becomes quite simple. Remember, practice makes perfect. So, keep practicing problems like these to become a pro at fractions!