(6) *Improper Fraction*.

This is a fraction having a numerator that is

equal to or greater than its denominator. It is either a whole number or a

whole number and a fraction of another whole number. For example, 4/4 may

be expressed as 1, or 3/2 may be expressed as 1 + 1/2.

(7) *Value of a Fraction*. This is the number that the fraction represents.

From the diagrams in figure 3, it can be readily seen that 1/2 in a, 2/4 in

b, 4/8 in c, and 6/12 in d are all equal in value, even though the terms of

each succeeding fraction are greater than the terms of all the previous

fractions.

But if the fraction 6/12 was increased by the fraction 1/12,

then 6/12 plus 1/12 would equal 7/12, and the value of 7/12 would be greater

than the value of all the previously mentioned fractions.

FIGURE 3.

VALUE OF A FRACTION.

4.

Comparison of Values

If you see two fractions such as 1/4 and 1/6, which is larger? The

illustration in figure 4 on the following page shows that 1/4 is the larger

fraction.

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