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Maharashtra State BoardSSC (English Medium) 9th Standard

Find the reduced form of the ratio of the first quantity to second quantity. 7 minutes 20 seconds, 5 minutes 6 seconds - Algebra

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Question

Find the reduced form of the ratio of the first quantity to second quantity.

7 minutes 20 seconds,  5 minutes 6 seconds

Sum
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Solution

7 minutes 20 seconds = 7 minutes + 20 seconds = 7 × 60 + 20 = 420 + 20 = 440 seconds       ...(1 minute = 60 seconds)

5 minutes 6 seconds = 5 minutes + 6 seconds = 5 × 60 + 6 = 300 + 6 = 306 seconds

∴ 7 minutes 20 seconds : 5 minutes 6 seconds 

∴ 440 seconds : 306 seconds = `440/306`

= `(440 ÷ 2)/(306 ÷ 2)`

= `220/153`

= `220 : 153`      ...(HCF of 220 and 153 = 2)  

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Properties of Ratio
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Chapter 4: Ratio and Proportion - Practice Set 4.1 [Page 61]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.1 | Q (2) (vi) | Page 61

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