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8. \( \frac{5}{12}+\frac{5}{8} \)

Ask by Luna Wade. in the United States
Feb 13,2025

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Answer

The answer is \( \frac{25}{24} \).

Solution

To add the fractions, first find the least common denominator (LCD) for 12 and 8. The LCD for 12 and 8 is 24. Convert each fraction: • 5/12 = (5 × 2)/(12 × 2) = 10/24 • 5/8 = (5 × 3)/(8 × 3) = 15/24 Now add the fractions: 10/24 + 15/24 = (10 + 15)/24 = 25/24 So, the answer is 25/24.

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Bonus Knowledge

To add \( \frac{5}{12} + \frac{5}{8} \), you first need a common denominator. The least common multiple of 12 and 8 is 24. Now, convert the fractions: \( \frac{5}{12} = \frac{10}{24} \) and \( \frac{5}{8} = \frac{15}{24} \). Now, add them together: \( \frac{10}{24} + \frac{15}{24} = \frac{25}{24} \). This can also be expressed as \( 1 \frac{1}{24} \). This fraction can also remind you of the importance of knowing how to find least common multiples—not only is it crucial for adding fractions, but it's a skill that pops up in various math disciplines, from algebra to even some geometry problems. You can further explore the use of fractions in real life! From cooking to budgeting, fractions come in handy when scaling recipes or dividing expenses. Dive into any recipe, and you’ll see how fractions play a lead role in ensuring a delicious outcome!

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