Multiply 1/9 by 4 ⅕. Write the answer in simplest form.

1 answer

To multiply 1/9 by 4 ⅕, we first convert the mixed number 4 ⅕ to an improper fraction. To do this, we multiply the whole number (4) by the denominator of the fraction (5), and then add the numerator (1).

4 * 5 + 1 = 20 + 1 = 21

So, 4 ⅕ is equivalent to 21/5.

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

1/9 * 21/5 = (1 * 21)/(9 * 5) = 21/45

To simplify the fraction, we find the greatest common divisor (GCD) of 21 and 45, which is 3.

21 ÷ 3 = 7
45 ÷ 3 = 15

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

Therefore, 1/9 multiplied by 4 ⅕ is equal to 7/15 in simplest form.