mat ran 1/5 mile less on monday then on tuesday. he ran 1/2 mile less on wednesday than he did on monday. he ran 7/10 mile more on friday than on wednesday. if matt ran 4/5 mile on friday, how far did he run on tuesday?

Friday= 8/10 of a mile ran

Wednesday= 1/10 of a mile ran
Monday= 6/10 of a mile ran
Tuesday= 11/10 of a mile ran

15/8

On Monday John ran 7–8 mile and frank ran 5–8 mile how much farther did John ran than frank ? Show me the work

To find out how far Matt ran on Tuesday, let's break down the information given step by step:

1. Matt ran 1/5 mile less on Monday than on Tuesday.
2. Matt ran 1/2 mile less on Wednesday than he did on Monday.
3. Matt ran 7/10 mile more on Friday than on Wednesday.
4. Matt ran 4/5 mile on Friday.

Let's start by finding out how far Matt ran on Wednesday. We know that he ran 1/2 mile less on Wednesday than he did on Monday.

Let's assume that Matt ran x miles on Monday. So, Matt ran x - 1/2 miles on Wednesday.

Now, we know that Matt ran 7/10 mile more on Friday than on Wednesday, and he ran 4/5 mile on Friday. So, we can set up the equation:

x - 1/2 + 7/10 = 4/5

To solve this equation, we need to find a common denominator for the fractions. The least common denominator is 10.

10(x - 1/2) + 10(7/10) = 10(4/5)

10x - 5 + 7 = 8

10x = 6 + 5

10x = 11

x = 11/10

So, Matt ran 11/10 miles on Monday.

Now, we know that Matt ran 1/5 mile less on Monday than on Tuesday. Therefore, Matt ran 11/10 - 1/5 miles on Tuesday.

To subtract fractions with different denominators, we need to find a common denominator, which is 10 in this case.

(11/10) - (2/10) = 9/10

Therefore, Matt ran 9/10 mile on Tuesday.