Jamal and dorothy wete hiking and had a choice between two trails. One was 5 1/3 miles long, and the other was 1 3/4 times as long. How long was the longer trail?
To find the length of the longer trail, we need to multiply the length of the shorter trail by 1 3/4.
The shorter trail is 5 1/3 miles long.
To express 1 3/4 as a fraction, we need to find a common denominator. The denominator of 1 3/4 is 4, so we can convert it to an improper fraction: 7/4.
Now, we can multiply the length of the shorter trail (5 1/3) by 7/4:
5 1/3 * 7/4
Let's convert the mixed number to an improper fraction:
5 * 3 = 15
15 + 1 = 16
16/3 * 7/4
Now, we can multiply the numerators and denominators:
16/3 * 7/4 = (16 * 7) / (3 * 4) = 112 / 12 = 9 1/3
Therefore, the longer trail is 9 1/3 miles long.
5 1/3 = 16/3
1 3/4 = 7/4
(16/3) * (7/4) = 112/12 = 9 1/3 miles