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Question
Using the property `bb(a/b = (ak)/(bk))`, fill in the blanks substituting proper numbers in the following.
`9/14 = 4.5/("___") = ("___")/ 42 = ("___") /3.5`
Solution
⇒ `9/14 = 4.5/bb7 = bb27/42 = bb2.25/3.5`
Explanation:
4.5 = 9 × 0.5, 42 = 14 × 3, 3.5 = 14 × 0.25
Now,
`9/14 = (9 xx 0.5)/(14 xx 0.5) = (9 xx 3)/(14 xx 3) = (9 xx 0.25) /(14 xx 0.25)`
⇒ `9/14 = 4.5/7 = 27/42 = 2.25/3.5`
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