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
[tex]4\text{ }\frac{2}{3}[/tex]
[tex]\frac{2}{3}\text{ is close to }\frac{3}{4}[/tex]
[tex]4+\frac{3}{4}=4\text{ }\frac{3}{4}[/tex]
Then for the other fraction
[tex]2\text{ }\frac{1}{4}[/tex][tex]\frac{1}{4}\text{ is close to }\frac{1}{4}[/tex]
Therefore we do the next estimation
[tex]4\frac{3}{4}-2\frac{1}{4}=2\text{ }\frac{2}{4}[/tex]
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
[tex]4\frac{2}{3}-2\frac{1}{4}=\frac{14}{3}-\frac{9}{4}=\frac{14(4)-9(3)}{12}=\frac{56-27}{12}=\frac{29}{12}[/tex]
Then we convert to a mixed number
[tex]2\text{ }\frac{5}{12}[/tex]
As we can see our estimation and the actual differ very a little therefore we do a good estimation
