Multiply 1/9 by 4 1/5. Write the answer in simplest form

To multiply 1/9 by 4 1/5, we need to convert the mixed number 4 1/5 to an improper fraction.

To convert 4 1/5 to an improper fraction, we multiply the whole number (4) by the denominator (5) and add the numerator (1). This gives us 4 * 5 + 1 = 20 + 1 = 21.
So, 4 1/5 as an improper fraction is 21/5.

Now, we can multiply 1/9 by 21/5.
Multiplying the numerators (1 * 21) and the denominators (9 * 5) give us 21/45.

To simplify the answer, we can divide the numerator and denominator both by their greatest common divisor (GCD), which is 3.
Dividing 21 by 3 gives us 7, and dividing 45 by 3 gives us 15.
So, the answer in simplest form is 7/15.