Multiply 1/9 by 4 1/5

Question

write the answer in the simplest form

Answer 1

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

To do this, we multiply the whole number 4 by the denominator of the fraction (5) and add it to the numerator (1). This gives us (4 * 5) + 1 = 21.

Now we have 1/9 multiplied by 21/5. We can multiply these fractions together by multiplying the numerators (1 * 21) and the denominators (9 * 5).

1 * 21 = 21
9 * 5 = 45

Therefore, the product of 1/9 and 4 1/5 is 21/45.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 3.

21/3 = 7
45/3 = 15

Therefore, the simplest form of the product is 7/15.