Jordan has an extension ladder that reaches 11 3/5 feet, and she needs it to reach 15 1/5 feet. How much longer does she need to extend it?

To determine how much longer the ladder needs to be extended, we start by converting the mixed numbers into improper fractions or decimals for easier calculation.

First, we convert 11 3/5 feet and 15 1/5 feet into improper fractions.

For 11 3/5:

• Multiply the whole number (11) by the denominator (5), which gives 55.

• Then add the numerator (3), resulting in 55 + 3 = 58.

• So, 11 3/5 can be expressed as 58/5 feet.

For 15 1/5:

• Multiply the whole number (15) by the denominator (5), which gives 75.

• Then add the numerator (1), resulting in 75 + 1 = 76.

• Therefore, 15 1/5 is expressed as 76/5 feet.

Now, to determine how much longer the ladder needs to extend, subtract the length of the ladder from the required height:

(76/5) - (58/5) = (76 - 58)/5 = 18/5.

To convert 18/5 to a mixed number, divide 18 by 5, which gives