Question

Will the quotient `7 1/6 ÷ 3 2/3` be a fraction greater than 1.5 or less than 1.5? Explain.

Answer 1

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`