Friday, August 10

Introduction to equivalent ratios calculator

Introduction to equivalent ratios calculator:

               Let we discuss about calculator of equivalent ratios. Ratio can be used to portraying how two quantities will relate. For example, we will say that apple squash can be mixed with water in ratio 2:5. That means, for each 2 part squash, there will want to add 5 parts of water. If two ratios should have same value when they are simplified in calculation. These ratios are known as Equivalent Ratios Calculator.

More about Equivalent Ratios:

Calculator of equivalent ratios:
  • Ratio of apple squash to water in the above example above is 2:5.
  • We can write this ratios as but this could be written as 200:500, or 20:50, or 4:10.
  • These are the equivalent ratios since the ratios are having the similar meaning.
  • Any of the ratio, the meaning is "the amount of water should be equal to the six times amount of squash".

Examples of Equivalent Ratios Calculator:
  • 1 / 3 and 3 / 6 both are equivalent ratios. Because they are representing same fraction number.
  • Two ratios 6 :42 and 1 : 7 are the equivalent ratios.
  • There are 9 dolls for every 54 children in a school. Therefore, ratio of the number of children to the dollars = 54:9 = 6:1.

Example Problems on Equivalent Ratios:

Example 1:
Calculate 120 : 360 in simplest form.
Solution:
Given, 120:360
Dividing of both sides by 4 =>  30:90
Dividing of both sides by 3 => 10:30
Dividing of both sides by 2 => 5:15
Dividing both sides in ration by 5, then we get, 1:3
Therefore, simplest form of 120:360 is 1:3

Example 2:
Cricket game has 2 winners for every 5 losers. Find three equivalent ratio for winners to losers.
Solution:
Ratio of winner to loser = 2 / 5
1. Multiplying 2 in both numerator and also denominator of  ratio 2 / 5
              Ratio will be, 4 / 10
2.Mutiplying 3 in both numerator and denominator of ratio 2 / 5
              Ratio will be, 6 / 15
3.Mutiplying 4 in both numerator and denominator of the ratio 2 / 5
              Then the ratio will be, 8 / 20
Answer:
                Equivalent ratios of 2 / 5 are 4 / 10 , 6 / 15 and 8 / 20

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