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

Answer 1

To multiply fractions, we multiply the numerators together and the denominators together.

First, let's convert the mixed number 4 1/5 into an improper fraction.

To do this, we multiply the whole number (4) by the denominator (5) and add the numerator (1).

4 * 5 = 20

20 + 1 = 21

So, 4 1/5 as an improper fraction is 21/5.

Now, let's multiply the two fractions:

(1/9) * (21/5)

1 * 21 = 21
9 * 5 = 45

Therefore, the answer is 21/45.

However, we can simplify this fraction further by dividing the numerator and denominator by their greatest common divisor (GCD).

The GCD of 21 and 45 is 3.

21 ÷ 3 = 7
45 ÷ 3 = 15

So, the simplest form of the fraction 21/45 is 7/15.