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2 A bush in Edgar's yard was \( 5 \frac{1}{2} \) feet tall. Edgar trimmed \( \frac{7}{8} \) foot off the top. How many feet tall was the bush after Edgar trimmed it? \( \begin{array}{ll}\text { F } 4 \frac{5}{8} \mathrm{ft} & \text { H } 4 \frac{3}{4} \mathrm{ft} \\ \text { G } 5 \frac{5}{8} \mathrm{ft} & \text { J } 4 \frac{3}{8} \mathrm{ft}\end{array} \)

Ask by Ellis Coleman. in the United States
Jan 23,2025

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Answer

After trimming, the bush is \( 4 \frac{5}{8} \) feet tall.

Solution

To determine the height of the bush after Edgar trimmed it, let's perform the necessary calculations step by step. **Initial Height of the Bush:** \[ 5 \frac{1}{2} \text{ feet} \] **Amount Trimmed:** \[ \frac{7}{8} \text{ foot} \] **Calculating the Remaining Height:** Subtract the amount trimmed from the initial height. 1. **Convert Mixed Numbers to Improper Fractions:** - \( 5 \frac{1}{2} = \frac{11}{2} \) - \( \frac{7}{8} \) remains the same since it's already an improper fraction. 2. **Find a Common Denominator:** To subtract these fractions, they need a common denominator. The least common denominator (LCD) of 2 and 8 is 8. - Convert \( \frac{11}{2} \) to eighths: \[ \frac{11}{2} = \frac{11 \times 4}{2 \times 4} = \frac{44}{8} \] 3. **Subtract the Fractions:** \[ \frac{44}{8} - \frac{7}{8} = \frac{37}{8} \] 4. **Convert Back to a Mixed Number:** \[ \frac{37}{8} = 4 \frac{5}{8} \text{ feet} \] **Conclusion:** After trimming, the bush is **\( 4 \frac{5}{8} \) feet tall**. **Answer:** **F) \( 4 \frac{5}{8} \) ft**

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To find the height of the bush after Edgar trimmed it, we start with the original height of \( 5 \frac{1}{2} \) feet, which can be converted to an improper fraction: \[ 5 \frac{1}{2} = \frac{11}{2} \text{ feet} \] Next, we need to subtract the trimmed height of \( \frac{7}{8} \) foot from the original height: \[ \frac{11}{2} - \frac{7}{8} \] To perform this subtraction, we must have the same denominator. The least common denominator of 2 and 8 is 8. Converting \( \frac{11}{2} \): \[ \frac{11}{2} = \frac{44}{8} \] Now, we can subtract: \[ \frac{44}{8} - \frac{7}{8} = \frac{37}{8} \] Finally, converting \( \frac{37}{8} \) back to a mixed number gives us: \[ 4 \frac{5}{8} \] So, the height of the bush after trimming is \( \text{F } 4 \frac{5}{8} \mathrm{ft} \). --- Throughout history, measurements like feet, inches, and yards have been key for construction, tailoring, and various trades. The creation of standardized measurements stems from the need for a shared understanding of size, particularly during the Middle Ages in Europe, where local units varied widely! In practical life, ensuring accuracy when trimming plants or doing home improvement projects can save time and money. Always measure twice before cutting. And to avoid common mistakes, keep a calculator handy for adding and subtracting fractional heights—those pesky fractions can sneak in and lead to surprises if not accounted for properly!

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