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8. you are buying lumber to finish a project you need 3 pieces that are…

Question

  1. you are buying lumber to finish a project you need 3 pieces that are 4 ½ feet long, 10 pieces of 5 ¼ length. how long is that in total?

Explanation:

Step1: Calculate length for 4½ ft pieces

First, convert \( 4\frac{1}{2} \) to an improper fraction, which is \( \frac{9}{2} \). Multiply by 3: \( 3\times\frac{9}{2}=\frac{27}{2} = 13.5 \) feet.

Step2: Calculate length for 5¼ ft pieces

Convert \( 5\frac{1}{4} \) to improper fraction \( \frac{21}{4} \). Multiply by 10: \( 10\times\frac{21}{4}=\frac{210}{4}=52.5 \) feet.

Step3: Sum the two totals

Add 13.5 and 52.5: \( 13.5 + 52.5 = 66 \) feet.

Answer:

66 feet