Final answer:
To solve the expression 2 3/8 - 1 1/5 x 1 2/3, first, we multiply 1 1/5 and 1 2/3 to get 2. Then, we subtract the product from 2 3/8, resulting in 3/8.
Step-by-step explanation:
To solve the expression 2 3/8 - 1 1/5 x 1 2/3, we need to simplify the multiplication first.
- Multiply 1 1/5 and 1 2/3:
- Convert 1 1/5 and 1 2/3 to improper fractions: 1 1/5 = 6/5, and 1 2/3 = 5/3.
- Multiply the fractions: (6/5) x (5/3) = 30/15 = 2.
Now that we have the product of the multiplication, we can subtract it from 2 3/8.
- Convert 2 3/8 to an improper fraction: 2 3/8 = 19/8.
- Subtract the product from the fraction: 19/8 - 2 = 19/8 - 16/8 = 3/8.
The resulting expression is 3/8.