Question

Write the following numbers 2, 3, 4 and 5 into the boxes to give the smallest possible answer.

? ?/7 x ? 1/?

Thank you in advance.

Answer 1

clearly, the whole number part must be as small as possible, so it'd be

2 ?/7 x 3 1/?

Now we want as large a denominator as possible, so I'd go with

2 4/7 x 3 1/5 = 8 8/35

Hmmm/ Nope,

3 4/7 x 2 1/5 = 7 6/7