Math homework help -
fractions 'of' and
fraction word problems
Students send me scans (or cell phone pictures) of their math homework with their own answers written down. I review and rectify mistakes, if any so that they have all correct answers by the time they turn them in to their school teachers. I also make efforts to explain the concepts/steps briefly.
Note that this is a paid service but costs significantly less than live tutoring sessions. Here are a few examples from pre algebra to show what I receive and what I send back. You can use these solutions as solved examples to learn on your own. Don't miss out on the tips and tricks, if any.
Find a fraction of a number
Fraction word problems
Find a fraction of a number
What I received |
What I sent back |
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3⁄5 of 15
= 3⁄5 × 15
= 3⁄5 × 15⁄1
= 3⁄
= 9
You can also use this idea ('of' means multiplication) to solve percentage problems.
Another way to think about this is to divide 15 into 5 (the denominator) groups of equal size - so each group has 3 - and then combining 3 (the numerator) of those groups.
In other words, this is the same as doing
15 ÷ 5 × 3
Fraction word problems
What I received |
What I sent back |
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More sample maths homework help by email
The denominators - 2, 10 and 5 are super friendly. So, you could just do this problem (and many more like this one) mentally. Here's how.
2 1⁄2 = 2.5
2 3⁄10 = 2.3
3 2⁄5 = 3.4
Doing 2.5 + 2.3 + 3.4 is as easy as doing 25 + 23 + 34. The answer is 82 (I mean 8.2).
Who doesn't know that .2 as a fraction is 2⁄10,
that simplifies to 1⁄5
Therefore, the answer is 8 1⁄5
Can you apply the same concept to solve #8?
Hint: 3⁄4 = 0.75
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