Question

Having a hard time explaining to my daughter how to explain her estimate of this problem.

Answer 1

In total Irene makes 4 2/3

She splits the batter into two bowls

Blueberries bowl 2 1/4

walnuts bowl ?

In order to do an estimation

`4\text{ }(2)/(3)`

`(2)/(3)\text{ is close to }(3)/(4)`

`4+(3)/(4)=4\text{ }(3)/(4)`

Then for the other fraction

`2\text{ }(1)/(4)`
`(1)/(4)\text{ is close to }(1)/(4)`

Therefore we do the next estimation

`4(3)/(4)-2(1)/(4)=2\text{ }(2)/(4)`

The estimation is 2 2/4 cups of batter with walnuts

For an exact value, we do the next operations

In order to know how much batter has walnuts

`4(2)/(3)-2(1)/(4)=(14)/(3)-(9)/(4)=(14(4)-9(3))/(12)=(56-27)/(12)=(29)/(12)`

Then we convert to a mixed number

`2\text{ }(5)/(12)`

As we can see our estimation and the actual differ very a little therefore we do a good estimation