Evaluate the rational number expression and express the result in simplest form.
3/4
÷ 1/2
· 3/8
Starting with the division of 3/4 ÷ 1/2:
To divide by a fraction, we flip the second fraction and multiply:
3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 or 3/2
Now we multiply by 3/8:
3/2 × 3/8 = 9/16
Therefore, the result in simplest form is 9/16.