MathsComparing QuantitiesRatiosComparing Two Ratios – Part 2

Comparing Two Ratios – Part 2

Table of Contents

  • Example
  • Summary
  • What’s Next?

In the previous segment, we had looked at the comparison of Ratios. In this segment of the

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    chapter ‘Comparing Quantities’, we will see how to compare ratios.

    Comparing Ratios – Example

    Q. Emma scored 80 marks out of 100 in a subject and her friend Frieda scored 40 marks out of 50 in a subject. Who performed better of the two?

    Solution:

    The ratio of marks scored by Emma to total marks = 80 : 100 = 80

    100

    The ratio of marks scored by Freida to total marks = 40 : 50 = 40

    50

    Reducing the fractions to their lowest forms,

    Fraction 1

    Fraction 2

    80 ÷ 20 4

    =

    100 ÷ 20 5

    40 ÷ 10 4

    =

    50 ÷ 10 5

    Since, 4 = 4,

    5 5

    both the ratios 80 : 100 and 40 : 50 are equal.

    By comparing both the ratios, we can conclude that Emma has done as well as Frieda.

    What’s next?

    In our next segment of Class 07 Maths, we will see how to compare ratios.

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