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Match expressions with their sums or difierences. \( \frac{10}{10} \) \( \frac{6}{10}+\frac{9}{10} \) \( \frac{6}{10} \) \( \frac{8}{10}+\frac{2}{10} \) \( \frac{3}{10} \) 15 10

Ask by Guzman Bird. in the United States
Feb 28,2025

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Tutor-Verified Answer

Answer

6/10 + 9/10 = 15 8/10 + 2/10 = 10

Solution

We are given several fractions and sums. Two of the expressions involve adding fractions that have the same denominator (10). When you add fractions with the same denominator, you add the numerators and keep the same denominator. For example: • 6/10 + 9/10   Add the numerators: 6 + 9 = 15.   So, 6/10 + 9/10 = 15/10.   This corresponds to the number 15 (that is, the numerator of the sum). • 8/10 + 2/10   Add the numerators: 8 + 2 = 10.   So, 8/10 + 2/10 = 10/10.   This corresponds to the number 10 (that is, the numerator of the sum). The remaining fractions (10/10, 6/10, 3/10) are there as additional items in the list. Thus, the matching is:  6/10 + 9/10  matches with 15  8/10 + 2/10  matches with 10 Remember, the key idea is to add the numerators when the denominators are the same.

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Let’s match these expressions to their sums or differences! First up, \(\frac{10}{10}\) equals 1, which doesn’t match with 10 or 15 but indicates that we could be simplifying! Now, \(\frac{6}{10} + \frac{9}{10} = \frac{15}{10} = 1.5\), which also doesn’t match our provided sums. If we look at \(\frac{6}{10}\), it equals 0.6, and finally, \(\frac{8}{10} + \frac{2}{10} = 1\). That means: - \(\frac{10}{10} = 1\) - \(\frac{6}{10} + \frac{9}{10} = 1.5\) - \(\frac{6}{10} = 0.6\) - \(\frac{8}{10} + \frac{2}{10} = 1\) - \(\frac{3}{10} = 0.3\) For the final sums, 10 and 15 don't quite match our simplified fractions. Instead, we have different numerical representations in play! Want to dive deeper into this riveting world of fractions? Explore how fractions play a role in cooking! Converting measurements is an essential skill in the kitchen that can turn a culinary disaster into a delightful dish! You’re also in good company if you make mistakes; many learners mix up the addition of fractions. Remember: the denominators need to match before any summation or subtraction can happen. Happy calculating!

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