Final answer:
To divide -16/25 by 8/5, multiply -16/25 by the reciprocal of 8/5, which is 5/8, to get -80/200. Simplify this by dividing both numerator and denominator by 40 to obtain the simplest form, which is -2/5.
Step-by-step explanation:
Mixed numbers consist of a whole number and a fraction, for example two and a half (2 ½). An improper fraction is a fraction whose top number (numerator) is bigger than its bottom number (denominator). For example, five halves (5/2) is an improper fraction.
The division of two fractions in mathematics. To find the result of -16/25 ÷ 8/5, you need to multiply the first fraction by the reciprocal of the second fraction. Dividing by a fraction is the same as multiplying by its reciprocal. First, find the reciprocal of 8/5, which is 5/8. Then multiply -16/25 by 5/8: -16/25 × 5/8.
Multiplying the numerators together, we get -16 × 5 = -80. Multiplying the denominators together, we get 25 × 8 = 200. Therefore, the answer is: -80/200. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 40: -80 ÷ 40/200 ÷ 40 = -2/5. Thus, -16/25 ÷ 8/5 is equal to -2/5 when expressed as a fraction in simplest form.