Final answer:
To find the product of 1 2/3 and 1 1/5, we first convert the mixed numbers to improper fractions, multiply them, and then simplify the result to get the final answer of 2.
Step-by-step explanation:
The question requires evaluating the multiplication of two mixed numbers, 1 2⁄3 and 1 1⁄5. To simplify the process, first, we convert each mixed number into an improper fraction. Then, we multiply the numerators and denominators separately before converting the result back to a mixed number if needed.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator to this product. For example, 1 2⁄3 is converted by multiplying 1 (the whole number) by 3 (the denominator) and adding 2 (the numerator), resulting in 5⁄3 as the improper fraction. Similarly, 1 1⁄5 becomes 6⁄5.
Now, we multiply 5⁄3 by 6⁄5 to get 30⁄15. Since 30 and 15 have a common factor, we can simplify the fraction to 2 by dividing both numerator and denominator by 15. As a result, 1 2⁄3 times 1 1⁄5 equals 2.