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Adding Fractions: First, check to make sure that the denominator (the number on the bottom) of both fractions is the same. If it is, then add together the numerator (the number on top) of each fraction but do not change the denominator.

Ask by Ruiz Long. in the United States
Mar 14,2025

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To add fractions with the same denominator, add the numerators and keep the denominator the same.

Solución

To add fractions, we need to follow the steps you've outlined. Let's break it down step by step: 1. **Check the Denominators**: - If the denominators of both fractions are the same, we can proceed to add the numerators. - If the denominators are different, we need to find a common denominator before we can add the fractions. 2. **Add the Numerators**: - If the denominators are the same, simply add the numerators together and keep the denominator the same. 3. **Final Result**: - Write the result as a new fraction. ### Example Let's say we want to add the fractions \( \frac{3}{5} \) and \( \frac{2}{5} \). 1. **Check the Denominators**: - Both fractions have a denominator of 5, so we can proceed. 2. **Add the Numerators**: - \( 3 + 2 = 5 \) 3. **Final Result**: - The result is \( \frac{5}{5} \), which simplifies to 1. If you have specific fractions you would like to add, please provide them, and I can help you with the calculation!

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Bonus Knowledge

Did you know that the practice of adding fractions dates back to ancient Egypt? Around 2000 BC, Egyptians used fractions primarily for measurement, dividing food and resources among workers. Their system included unit fractions, which are fractions with a numerator of one, paving the way for the fraction complexities we handle today! When adding fractions with different denominators, the biggest mistake is ignoring the need to find a common denominator. A common strategy is to use the least common multiple (LCM) of the denominators. Always check your work by ensuring both fractions are expressed in terms of their new common denominator before you go ahead and add those pesky numerators!

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