Reducing Fractions
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Search | Updated December 21st, 2017

    This lesson will inform you how to reducing fractions. Here are the sections within this lesson page:

    To simplify fractions it is important to know how to determine factors of a number. It is strongly recommended that you quickly (or not so quickly) review our divisibility lesson before progressing with the following sections.

    esson: Divisibility Check

    We use ratios all the time. When we look at pieces of art, we compare lengths to widths. If we buy something in a foreign land, we use ratios to convert the amount into a familiar currency. To travel, we use maps, which are scaled down versions of roads.

    These are all examples of ratios and ratios often need to be reduced to be most meaningful.

    The examples that follow will demonstrate how to reduce fractions.

fraction 16/20

   To reduce this fraction, we divide the numerator and the denominator by the same amount. We chose a common factor to do this.

   The numerator and denominator have a common factor: 2. The division looks like this.

reducing fraction 16/20

   Of course, 8 and 10 also have a common factor, which is again 2.

reducing fraction 8/10

   We could have reduced this original problem faster had we noticed the larger common factor, which is 4.

reducing fraction 16/20

   4/5 is the completely reduced solution.

    ideo: Reducing Fractions
    uiz: Reducing Fractions

fraction 30/42

   The numerator and the denominator have several factors in common. But, let us start with the most easily recognized. Since the numerator and denominator are both even, they are divisible by 2.

reducing fraction 30/42

   It can be seen that the numerator and denominator are both divisible by 3. So, let us divide the numerator and the denominator by 3.

reducing fraction 15/21

   This is the fraction that is completely reduced.

    ideo: Reducing Fractions
    uiz: Reducing Fractions

    Use this instructional video to learn how to reduce fractions.

    ideo: Reducing Fractions

    Use this interactive quiz to determine if you fully comprehend the sections above.

    uiz: Reducing Fractions

    Try these lessons, which are related to the sections above.

    esson: Multiplying Fractions
    esson: Dividing Fractions
    esson: Fractions, Decimals, Percents
    esson: Proportions
    esson: Adding and Subtracting Fractions
    esson: Similar Figures
    esson: Dilations