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Question
Will the quotient `7 1/6 ÷ 3 2/3` be a fraction greater than 1.5 or less than 1.5? Explain.
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Solution
Yes,
Given, `7 1/6 ÷ 3 2/3 = ((7 xx 6) + 1)/6 ÷ ((3 xx 3) + 2)/3`
= `(42 + 1)/6 ÷ (9 + 2)/3`
= `43/6 ÷ 11/3`
= `43/6 xx 3/11` ...`[∵ "Reciprocal of" 11/3 = 3/11]`
= `43/22`
= 1.95
Obviously, 1.95 > 1.5
Hence, `7 1/6 ÷ 3 2/3 > 1.5`
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