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Question
Using the property `bb("a"/"b" = ("ak")/("bk"))`, fill in the blanks substituting proper numbers in the following.
`5/7 = ("___")/28 = 35/("___") = ("___")/3.5`
Solution
`5/7 = bb(20)/( 28)= (35)/bb(49)= bb(2.5)/ (3.5)`
Explanation:
28 = 7 × 4, 35 = 7 × 5, 3.5 = 7 × 0.5
Now,
⇒ `5/7 = (5 xx 4)/(7 xx 4)= (20)/( 28)`
⇒ `5/7 = (5 xx 7)/ (7 xx 7)= (35)/(49)`
⇒ `5/7 = (5 xx 0.5)/( 7 xx 0.5)= ( 2.5)/ (3.5)`
∴ `5/7 = (20)/( 28)= (35)/(49)= ( 2.5)/ (3.5)`
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