Find the product and write it in simplest form. Make sure to show all your work. 1 2/10 × 2/5 (2 points)
To find the product of 1 2/10 and 2/5, we first need to convert 1 2/10 to an improper fraction.
1 2/10 is equivalent to 10/10 + 2/10, which is equal to 12/10.
So, the multiplication becomes:
12/10 × 2/5
To simplify, we can reduce 12/10 by dividing both the numerator and denominator by their greatest common divisor, which is 2.
After dividing both sides by 2, we get:
6/5 × 2/5
Now, we can multiply the numerators and the denominators:
(6 × 2) / (5 × 5)
= 12/25
Therefore, the product of 1 2/10 and 2/5, in simplest form, is 12/25.