This season, lisa's lacrosse team has won $\frac 23$ of their home games (games played at lisa's school), but just $\frac 25$ of their away games (games played at other schools). in total, lisa's team has won $26$ games out of $49$ games they have played. how many home games has lisa's team played?

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let represents games played at home.

also represent games played away.

Total number of games played = 49

∴

Now according to given data:

Number of home games won =

Number of away game won =

Total games won =26

Hence

Now multiplying equation 1 by 3 we get,

Now Subtracting equation 2 by equation 3 we get,

Substituting value of x in equation 1 we get.

Hence Lisa's team have played 24 home games and 25 away games.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5