Math homework help 
fractions 'of' and
fraction word problems
Math homework help home
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

click on pictures to enlarge

Tip: The word 'of' usually translates to multiplication. So,
^{3}⁄
_{5} of 15
=
^{3}⁄
_{5} × 15
=
^{3}⁄
_{5} ×
^{15}⁄
_{1}
=
^{3}⁄
_{51} ×
^{153}⁄
_{1}
= 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

click on pictures to enlarge

More sample maths homework help by email
Tip: It helps to remember the decimal equivalent of some common fractions. Look at #1 for example.
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