Middle School

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Tristan rode his bike \(3 \frac{2}{3}\) miles on Saturday and \(1 \frac{4}{5}\) miles on Sunday. How many more miles did he ride on Saturday than on Sunday?

Answer Choices:
A. \(\frac{13}{15}\) mile
B. \(1 \frac{3}{5}\) miles
C. \(1 \frac{13}{15}\) miles
D. \(2 \frac{13}{15}\) miles

Answer :

Answer:

C; 1 13/15 miles

Step-by-step explanation:

The question asks how many more miles did Tristan ride on Saturday than on Sunday.

On Saturday he rode 3 2/3 miles.

On Sunday he rode 1 4/5 miles.

3 2/3 can be converted to 3 10/15 (so you can subtract w/ common denominators) and 1 4/5 can be converted to 1 12/15.

Since the numerator for the amount of miles Tristan rode on Sunday is greater than the numerator for the amount of miles Tristan rode on Saturday, you can convert both common denominators to improper fractions.

3 10/15 becomes 55/15 and 1 12/15 becomes 27/15, subtract these two.

55/15 - 27/15 is 28/15.

28/15 as a mixed number is 1 13/15; answer choice C.

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