Multiply 2 4/5 times -4/5

Answer 1

To multiply 2 4/5 by -4/5, we can convert the mixed number 2 4/5 to an improper fraction.

First, we multiply the whole number 2 by the denominator 5 and add the numerator 4. This gives us 2 * 5 + 4 = 10 + 4 = 14.

Next, we convert the improper fraction 14/5 to a mixed number. The quotient is 14 divided by 5 which equals 2, and the remainder is 14 modulo 5 which equals 4. So, the mixed number equivalent of 14/5 is 2 4/5.

Now, we can multiply 2 4/5 by -4/5 as follows:

2 4/5 * -4/5 = (2 + 4/5) * -4/5

= (10/5 + 4/5) * -4/5

= (14/5) * -4/5

= (14 * -4) / (5 * 5)

= -56/25

Therefore, 2 4/5 times -4/5 equals -56/25.