Final answer:
To divide 1 2/5 by 2 1/3, convert both to improper fractions, divide by multiplying the first by the reciprocal of the second, and simplify. The final result is 3/5.
Step-by-step explanation:
The question asks for the division of mixed numbers. To find the result of 1 2/5 divided by 2 1/3, we will convert them into improper fractions and then divide.
First, convert 1 2/5 to an improper fraction: 1 x 5 (the denominator) + 2 (the numerator) = 7, so we have 7/5.
Next, convert 2 1/3 to an improper fraction: 2 x 3 + 1 = 7, so we have 7/3.
Now we divide 7/5 by 7/3, which is the same as multiplying 7/5 by the reciprocal of 7/3, which is 3/7:
7/5 x 3/7 = 21/35.
Finally, simplify the fraction if possible: in this case, 21/35 can be simplified to 3/5, because both the numerator and the denominator can be divided by 7.
The answer to 1 2/5 divided by 2 1/3 is therefore 3/5.