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Fractions

In a fraction, the number that is written above the fraction bar is called the numerator. The number below the fraction bar is called the denominator.

By Professor Cardy

Multiplying Fractions
     
 

The result of multiplying two fractions is called product.

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multiplying fractions
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The product of two or more fractions is the product of their numerators divided by the product of their denominators.
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One example is the following:

The fraction 2/7 is multiplyed by 5/3. The result is obtainded simply multiplying the numerators 2 and 5 and dividing by the product of the denominators 7 and 3.

When you multiply an integer number by a fraction, write this integer as a fraction with denominator 1. Then use the rule in the box.

Another example:

It is usefull in some cases to remenber how to manage negative integers in fractions:

I strongly suggest that you first reduce each fraction to its lowest terms. For instance, the product of 4/9 and 27/50 can be obtained like this:

1. First factor both numerator and denominator of each fraction

2. Multiply the numerators and denominators

3. Reduce the fraction to its lowest terms

Of course one can directly multiply the numerators 4x27 = 108 and denominators 9x50 = 450. The product is correct:

This fraction is equivalent to 6/25

 

  • Exercises
  • Answers

01. Multiply the numbers. If necessary, reduce to its lowest terms.

A)
B)
C)
D)
E)

01. Multiply the numbers. If necessary, reduce to its lowest terms.

A)
B)
C)
D)
E)

Stay smart, always study!

Professor Cardy

 
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