To solve this expression, we need to follow the order of operations, which is commonly remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's multiply the fractions: 2/5 * 3/5 = (2 * 3) / (5 * 5) = 6/25
Now, let's add the resulting fraction with the next one: 6/25 + 9/5
Since the denominators are different, we need to find a common denominator. In this case, the least common denominator (LCD) is 25, which both fractions already have.
So, we can add the numerators and keep the same denominator: (6 + 9) / 25 = 15/25
Now, simplify the fraction: 15/25 = 3/5
Therefore, the result of the expression 2/5 * 3/5 + 9/5 is 3/5.
