Is the following a true statement? 4/8 < 5/16

The statement is false.

Step-by-step explanation:

The easiest way to answer this question is to make both fractions have the same common denominator.  In this case, we should alter the first fraction to have a denominator of 16 so that it matches the second fraction.  To do this, we should multiply both the numerator and the denominator of the fraction by 2 (this is the same as multiplying by 1, which does not change the value of the fraction).  This is modeled below:

4/8 * 2/2 = 8/16

Now, we can plug this value back into our original statement.

8/16 < 5/16

From comparing the numerators, we know that 5 is NOT greater than 8, so the statement is false.

Hope this helps!