Final answer:
To divide 3 3/5 by 2 7/10, convert the mixed numbers to improper fractions. Divide the numerators and denominators separately, then simplify the resulting fraction.
Step-by-step explanation:
To divide 3 3/5 by 2 7/10, we can convert the mixed numbers into improper fractions. Thus, 3 3/5 becomes 18/5 and 2 7/10 becomes 27/10. Then, we can divide the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction. Therefore, 18/5 divided by 27/10 is equal to (18/5) ÷ (27/10), which is the same as (18/5) x (10/27). Multiplying the numerators and denominators gives a result of 180/135. Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor of 45, we get the simplified answer of 4/3.
Learn more about Dividing mixed numbers