Question

Tracie ran a total of 5 3/4 miles on Saturday and Sunday. She ran 1 5/8 miles on Saturday . How many miles did Tracie run on Sunday ?

Answer 1

Tracie ran $\frac{33}{8}$ miles or $4\frac{1}{8}$ miles on sunday

Solution:

Given that Tracie ran a total of $5\frac{3}{4}$ miles on Saturday and Sunday

She ran $1\frac{5}{8}$ miles on Saturday

To find: Number of miles ran on Sunday

From given question,

Total miles ran on Saturday and Sunday = $5\frac{3}{4}$ miles

$\rightarrow 5\frac{3}{4} = \frac{4 \times 5+3}{4} = \frac{23}{4} \text{ miles}$

Miles ran on Saturday = $1\frac{5}{8}$ miles

$\rightarrow 1\frac{5}{8} = \frac{8 \times 1+5}{8}=\frac{13}{8} \text{ miles }$

Number of miles ran on sunday = Total miles ran on Saturday and Sunday - Miles ran on Saturday

Number of miles ran on sunday = $\frac{23}{4} -\frac{13}{8}$

$\rightarrow \frac{23}{4} -\frac{13}{8}\\\\\rightarrow \frac{23 \times 2}{4 \times 2}-\frac{13}{8}\\\\\rightarrow \frac{46}{8} - \frac{13}{8}\\\\\rightarrow \frac{46-13}{8} = \frac{33}{8}$

$\rightarrow \frac{33}{8} = 4\frac{1}{8}$

Thus Tracie ran $\frac{33}{8}$ miles or $4\frac{1}{8}$ miles on sunday