Final answer:
To find 3 1/8 divided by 1 2/3, convert to improper fractions, multiply by the reciprocal, and then simplify. The answer in lowest terms is 15/8 or 1 7/8.
Step-by-step explanation:
We are asked to calculate 3 1/8 divided by 1 2/3 in lowest terms. To do this, we'll first convert each mixed number into an improper fraction. 3 1/8 becomes 25/8 and 1 2/3 becomes 5/3. Next, we divide by multiplying the first fraction by the reciprocal of the second fraction. This process looks like this:
25/8 × 3/5 = 75/40
Finally, we simplify 75/40 to its lowest terms by dividing both numerator and denominator by their greatest common divisor. The simplified fraction is 15/8, which can also be expressed as the mixed number 1 7/8.