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Question
Arrange in descending order:
`7/10`, `5/8`, `3/5`, `11/20`
Options
`7/10` > `5/8` > `3/5` > `11/20`
`5/8` > `7/10` > `3/5` > `11/20`
`11/20` > `5/8` > `7/10` > `3/5`,
`5/8` > `3/5` > `7/10` > `11/20`
MCQ
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Solution
`7/10` > `5/8` > `3/5` > `11/20`
Explanation:
Step 1: Find a common denominator
The LCM of 10, 8, 5, and 20 is 40
Step 2: Convert each fraction to an equivalent fraction with a denominator 40
`7/10` = `"7 × 4"/"10 × 4"` = `28/40`
`5/8` = `"5×5"/ "8×5"` = `25/40`
`3/5` = `"3×8"/"5×8"` = `24/40`
`11/20` = `"11×2"/ "20×2"` = `22/40`
Step 3: Compare the numerators
28 > 25 > 24 > 22
`7/10` > `5/8` > `3/5` > `11/20`
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