Multiply 1/9 by 4 1/5. Write the answer in the simplest form.
To multiply 1/9 by 4 1/5, we first convert the mixed number 4 1/5 into an improper fraction.
To do this, we multiply the whole number, 4, by the denominator, 5, then add the numerator, 1. This gives us 4 * 5 + 1 = 20 + 1 = 21.
So, 4 1/5 as an improper fraction is 21/5.
Next, we can multiply 1/9 by 21/5.
To multiply fractions, we multiply the numerators together, then multiply the denominators together.
So, 1/9 * 21/5 = (1 * 21) / (9 * 5) = 21/45.
Finally, we can simplify this fraction.
Both 21 and 45 can be divided by 3.
21 divided by 3 is 7, and 45 divided by 3 is 15.
So, the simplest form of 21/45 is 7/15.
Therefore, 1/9 multiplied by 4 1/5 is equal to 7/15 in simplest form.