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Multiplying Fractions is Pretty Straightforward
  multiplying fractions

To 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 for multiplying fractions...

  1. Multiply the numerators.
  2. Multiply the denominators.
  3. 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...

Four Fifths             Two Thirds

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.

Eight Fifteenths

Notice how the Rule for multiplying fractions 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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