197k views
0 votes
Divide. Write your answer as a fraction or mixed number in simplest form.

-16/25 ÷ 8/5 = _________

User MykelXIII
by
7.6k points

1 Answer

3 votes

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.

User Ilari Scheinin
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.