Jordan has an extension ladder that currently reaches a height of 1153 feet. She needs the ladder to extend to a height of 1551 feet. How much longer, in feet, does the ladder need to be extended?(A) 353(B) 452(C) 1154(D) 2654
Q. Jordan has an extension ladder that currently reaches a height of 1153 feet. She needs the ladder to extend to a height of 1551 feet. How much longer, in feet, does the ladder need to be extended?(A) 353(B) 452(C) 1154(D) 2654
Find Height Difference: First, we need to find the difference between the desired height and the current height of the ladder.
Convert to Improper Fractions: Convert the mixed numbers to improper fractions to make the subtraction easier. 11(53) feet is the same as (11×5+3)/5=558 feet.15(51) feet is the same as (15×5+1)/5=576 feet.
Subtract Heights: Subtract the current height from the desired height: (576)−(558) feet.
Direct Numerator Subtraction: Since the denominators are the same, we can subtract the numerators directly: 76−58=18.
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Final Answer Conversion: Divide 18 by 5. The quotient is 3 with a remainder of 3. So, 518 feet is the same as 3(53) feet.
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