Which mixed number falls between four and three-eighths and five and five-twelfths?

four and one-fourth

five and two-thirds

four and one-half

five and five-sixths

Question

Which mixed number falls between four and three-eighths and five and five-twelfths?

four and one-fourth

five and two-thirds

four and one-half

five and five-sixths

anonymous · Answer

Add the two numbers and then divide by two
$$(4+3/8+5+5/12)/2$$

anonymous · Answer

$$4 + \frac{3}{8} < x < 5 + \frac{5}{12}$$

anonymous · Answer

$$4+\frac{1}{2}$$

anonymous · Answer

And The Answer Is?

anonymous · Answer

Get a calculator and punch in my answer, I spelled it out for you.

anonymous · Answer

We know 4 and one-fourth is smaller than five (and five-twefths).  Is it larger than four and three-eighths? This is the same thing as asking is one-fourth larger than three-eights?$$\frac{1}{4}=\frac{2}{8}<\frac{3}{8}$$Thus the answer is not four and one-fourth. Going through the other three we find the answer is four and one-half.

anonymous · Answer

$$\left\{4+\frac{3}{8},5+\frac{5}{12}\right\}=\left\{\frac{35}{8},\frac{65}{12}\right\}=\{4.375,5.41667\} $$Using there above one can virtually make a mental comparison with the four answer offerings.