Q:

Meredith bought 2/5 kg of shrimps.Courtney bought 1/10 kg of shrimps less than Meredith.(a) Find the weight of the shrimps bought by Courtney.(b) Find the total weight of the shrimps bought by them.​

Accepted Solution

A:
Answer:Step-by-step explanation:if Meredith bought 20 kg and Courtney bough 10 kg less you'd do 20-10 to find how much Courtney bought, hopefully that makes sense.  We are going to do the same thing here.That means 2/5 - 1/10.  To subtract fractions you need common denominators, like 5/6 - 1/6 = 4/6.  The bottom numbers need to be the same.  So how do we do that?  Well, that 4/6 can be rewritten as 2/3, they are the same number.  So we want to do the same with either 2/5 or 1/10... or maybe both.  Well 4/6 becomes 2/3 because 4/2 = 2 and 6/2 = 3, so we need to use that thinking. in 2/5 - 1/10, do you see something we can multiply by to make the bottom numbers the same?  What if you multiplied 2/5 by 3 on the top and bottom?  that would get us 6/15.  Well that's too high, maybe we try 2 then.  4/10.  And hey, that got us a 10, so we idn't have to change 1/10.  Now we can do the problem.2/5 - 1/10 = 4/10 - 1/10 = 3/10.So Courtney bought 3/10 kgTo find the total weight we add.  So now we have a similar problem.2/5 + 3/10  Well we know what to change 2/5 to to get a 10 at the bottom.  2/5 + 3/10 = 4/10 + 3/10 = 7/10.So in total they bought 7/10 (seven tenths) of a kilogram.  Let em know if something didn't make sense.