Simplest Form of Ratios

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Simplest Form of RatiosLet’s consider two ratios 60 : 40 and 90 : 60 How do we compare them? To compare them, first we convert them into simplest form To convert Ratio into Simplest form, we follow these steps Find the HCF of both numbers in the ratio Divide both numbers by HCF Let’s look at some examples Find simplest form of Ratio 60 : 40 Finding HCF first Now, 60 = 2 × 2 × 3 × 5 40 = 2 × 2 × 2 × 5 Thus, HCF (60, 40) = 2 × 2 × 5 = 20 So, we divide both 60 & 40 by 20 Ratio = 60/40 = 3/2 ∴ Simplest form of ratio is 3 : 2 We can also find simplest form by Converting ratio into a fraction Dividing both numerator and denominator until we cannot divide anymore Let’s do some examples Find simplest form of Ratio 90 : 60 Ratio = 90/60 = 9/6 = 𝟑/𝟐 ∴ Simplest form of ratio is 3 : 2 Lets do one more example Find simplest form of Ratio 15 : 90 Ratio = 15/90 = 3/18 = 𝟏/𝟔 ∴ Simplest form of ratio is 1 : 6