MathsComparing QuantitiesRatiosSimplest Form of a Ratio

Simplest Form of a Ratio

Table of Contents

  • Properties of Ratio
  • Simplest Form of a Ratio
  • Summary
  • What’s Next?

In the previous segment, we had looked at Ratios. In this segment of the chapter ‘Comparing Quantities’, we will learn about the simplest form of ratios.

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    Properties of a ratio

    Property 1:

    If the numerator and denominator of a ratio are multiplied by the same number, then the value of the ratio remains unchanged.

    For example,

    Consider 2. If the numerator and denominator of this ratio are multiplied by 2, we get 2×2 = 4.

    3

    Here, the ratios 2 and 4 have equal values.

    3×2 6

    3 6

    Similarly, let us multiply the numerator and the denominator of 2 by 3. We will get 2×3 = 6.

    Here, the ratios 2 ??? 6

    have equal values.

    3 3×3 9

    3 9

    Thus we can say 2 , 4 , ??? 6 all are equal ratios.

    3 6 9

    Property 2:

    If the numerator and denominator of a ratio are divided by the same number, then the value of the ratio remains unchanged. For example,

    Consider 16. If the numerator and denominator of this ratio are divided by 2, we get 16÷2 = 8.

    12 12÷2 6

    Here, the values of 16 and 8 are equal. Now, let us divide 16 by 4. Then we have 16÷4 = 4.

    Here,

    12 6 12 12÷4 3

    the values of 16 and 4 are equal.

    12 3

    Thus we can say 16 , 8 ,and 4 all are equal ratios.

    12 6 3

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