Question

From a rope 11 meters long, two pieces of lengths 13/5 meters and 33/10 meters are cut off. What is the length of the remaining rope? Write the answer as a reduced fraction.

Answer 1

To find the length of the remaining rope, subtract the lengths of the two pieces from the original length of 11 meters. The length of the remaining rope is 51/10 meters.

Step-by-step explanation:

To find the length of the remaining rope, we need to subtract the lengths of the two pieces that were cut off from the original length of 11 meters.

First, let's convert the lengths of the pieces from mixed numbers to improper fractions:

Length of first piece: 13/5 meters

Length of second piece: 33/10 meters

Next, we subtract the lengths of the pieces from 11 meters:

11 - 13/5 - 33/10 = (110/10) - (26/10) - (33/10) = 51/10 meters

Therefore, the length of the remaining rope is 51/10 meters.