Answer:
2 1/12
Step-by-step explanation:
Maddie wants her total hours to be 10 1/2. That is, she want the sum of the daily hours to be that value:
... 10 1/2 = 2 1/2 + 2 2/3 + 3 1/4 + (more hours)
Subtracting the contant terms on the right, we can find the value of (more hours).
... 10 1/2 - 2 1/2 - 2 2/3 - 3 1/4 = (more hours)
Doing the subtraction left to right, we have
... 8 - 2 2/3 - 3 1/4 = (more hours)
... 5 1/3 - 3 1/4 = (more hours)
... 2 1/12 = (more hours)
The only subtraction that may require any extra effort is subtracting 1/4 from 1/3.
... (1/3) - (1/4) = (4/12) - (3/12) = (4 -3)/12 = 1/12
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If you play with fractions very much, this is a number fact you will have run across before.
