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

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

Answer 2

Tracie ran
`(33)/(8)` miles or
`4(1)/(8)` miles on sunday

Solution:

Given that Tracie ran a total of
`5(3)/(4)` miles on Saturday and Sunday

She ran
`1(5)/(8)` miles on Saturday

To find: Number of miles ran on Sunday

From given question,

Total miles ran on Saturday and Sunday =
`5(3)/(4)` miles

`\rightarrow 5(3)/(4) = (4 * 5+3)/(4) = (23)/(4) \text{ miles}`

Miles ran on Saturday =
`1(5)/(8)` miles

`\rightarrow 1(5)/(8) = (8 * 1+5)/(8)=(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 =
`(23)/(4) -(13)/(8)`

`\rightarrow (23)/(4) -(13)/(8)\\\\\rightarrow (23 * 2)/(4 * 2)-(13)/(8)\\\\\rightarrow (46)/(8) - (13)/(8)\\\\\rightarrow (46-13)/(8) = (33)/(8)`

`\rightarrow (33)/(8) = 4(1)/(8)`

Thus Tracie ran
`(33)/(8)` miles or
`4(1)/(8)` miles on sunday