Multiplying Fractions
is as Easy as One, Two, Three

For most students, multiplying fractions is the easiest of the four basic operations.
Why?
You do not have to worry about a common denominator.
Here's the Rule...
- Multiply the numerators.
- Multiply the denominators.
- Simplify or reduce the resulting fraction, if possible.
2/3
X 4/5 = (2 X 4)/(3 X 5) = 8/15
We can illustrate the multiplication problem above by picturing each fraction as part of a whole or unit. With that idea in mind, we can show
the fractions 4/5 and 2/3 as...

Like in our example above, we wanted to find 2/3 of 4/5. The
"of" in this expression indicates that we are taking a part of
something. That's what multiplying fractions is really all about.
When we combine the two
diagrams as shown below, the part of the whole that represents multiplying 2/3 x 4/5 is shown in the double-shaded area.

Notice how the Rule for multiplication is "suggested" by the diagram.
By the way...
Did you also notice that the double shaded area is less than both
fractions, 2/3 and 4/5? That's because multiplying proper fractions ALWAYS produces a smaller fraction.
Think about that for a moment. When we multiply a fraction by a fraction, aren't
we actually taking a "part" of a "part"?
As always, don't forget to reduce or simplify your answer, as needed.
Remember to present your solution in the form asked for in your instructions. Okay! Now
is a good time to practice multiplying fractions
with our Fraction Calculator. Click Here!
Best Regards,

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