Find the number halfway between \( \frac{3}{4} \) and \( \frac{25}{4} \) [2] SELECT THE CORRECT ANSWER \( \frac{7}{2} \) \( \frac{5}{9} \) \( \frac{1}{2} \)
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Bonus Knowledge
To find the number halfway between \( \frac{3}{4} \) and \( \frac{25}{4} \), you can use the midpoint formula, which averages the two numbers. First, calculate the sum of the two fractions: \[ \frac{3}{4} + \frac{25}{4} = \frac{3 + 25}{4} = \frac{28}{4} = 7 \] Now, divide this sum by 2 to find the halfway point: \[ \frac{7}{2} \] So, the correct answer is \( \frac{7}{2} \). To make this even more interesting, in math, finding other midpoints can be quite fun! For instance, if you were to find the midpoint between two whole numbers like 10 and 20, you would calculate \( \frac{10 + 20}{2} = 15 \). Midpoints are useful in various fields like statistics to find averages; who knew math could help create some harmony out of extremes? If you're digging deeper into fractions, remember that fractions can be added by finding a common denominator. In the case of \( \frac{3}{4} \) and \( \frac{25}{4} \), they already shared the same denominator, making it a breeze. Just keep practicing, and soon enough, calculating with fractions will feel like second nature!
