113k views
4 votes
-8/7 divided by 2/5
answer as a simplified fraction

User DioBrando
by
8.3k points

2 Answers

3 votes

answer:

To divide -8/7 by 2/5 and express the answer as a simplified fraction, we can follow these steps:

1. Invert the second fraction, 2/5, to find its reciprocal. The reciprocal of 2/5 is 5/2.

2. Multiply the first fraction, -8/7, by the reciprocal of the second fraction, 5/2.

(-8/7) * (5/2) = (-8 * 5) / (7 * 2)

3. Multiply the numerators (-8 * 5) to get -40, and multiply the denominators (7 * 2) to get 14.

(-8/7) * (5/2) = -40/14

4. Simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 40 and 14 is 2.

-40/14 = (-20 * 2) / (7 * 2) = -20/7

Therefore, -8/7 divided by 2/5 as a simplified fraction is -20/7.

real

User AaRiF
by
8.4k points
3 votes

Answer:

To divide two fractions together, multiply the 1st by the inverse of the 2nd

-8/7 divided by 2/5 =

-8/7*5/2=-40/14=-20/7

Explanation:

User Anton Tropashko
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.

9.4m questions

12.2m answers

Categories