Mr. and mrs. robinson won a sum of money in a lottery. they decided to use 2/5 of their winning as a down payment on a house and 3/10 of the remaining amount to furnish their new home. what fraction of their winning was left ?

The fraction of winning money which is left is

Step-by-step explanation:

Given as :

Let The money won in a lottery = $ x

The money use as down payment on a house = of x

So, the remaining money = $ x - $   of x

I.e  the remaining money =

Or,  the remaining money =  

Now, again

The amount use to furnish the new home =   of remaining

Or, The amount use to furnish the new home =   ×  

So,  The amount use to furnish the new home =

Now, The left amount of the winning = x -  

i.e  The left amount of the winning =  

Or.  The left amount of the winning =  

Hence The fraction of winning money which is left is  answer