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

Having A Hard Time Explaining To My Daughter How To Explain Her Estimate Of This Problem class=

Sagot :

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