Respuesta :
Tracie ran [tex]\frac{33}{8}[/tex] miles or [tex]4\frac{1}{8}[/tex] miles on sunday
Solution:
Given that Tracie ran a total of [tex]5\frac{3}{4}[/tex] miles on Saturday and Sunday
She ran [tex]1\frac{5}{8}[/tex] miles on Saturday
To find: Number of miles ran on Sunday
From given question,
Total miles ran on Saturday and Sunday = [tex]5\frac{3}{4}[/tex] miles
[tex]\rightarrow 5\frac{3}{4} = \frac{4 \times 5+3}{4} = \frac{23}{4} \text{ miles}[/tex]
Miles ran on Saturday = [tex]1\frac{5}{8}[/tex] miles
[tex]\rightarrow 1\frac{5}{8} = \frac{8 \times 1+5}{8}=\frac{13}{8} \text{ miles }[/tex]
Number of miles ran on sunday = Total miles ran on Saturday and Sunday - Miles ran on Saturday
Number of miles ran on sunday = [tex]\frac{23}{4} -\frac{13}{8}[/tex]
[tex]\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}[/tex]
[tex]\rightarrow \frac{33}{8} = 4\frac{1}{8}[/tex]
Thus Tracie ran [tex]\frac{33}{8}[/tex] miles or [tex]4\frac{1}{8}[/tex] miles on sunday
Answer:
4 and 1/8
Step-by-step explanation:
Step 1:
5 and 3/4 becomes an improper fraction: 23/4
1 and 5/8 becomes and improper fraction: 13/8
Step 2:
You have to find a common denominator in order to subtract the two numbers.
So, 23/4 multiplied by 2 becomes 46/8 and 13/8 remains the same.
Step 3:
46/8 - 13/8 = 33/8
*33/8 became 4 and 1/8
