Perform the indicated operation if possible simply
6/7÷(-6/5)=
6/7÷(-6/5)=
(6/7) * (-5/6) = - 30/42 = -5/7
To solve this problem, you need to follow a few steps:
Step 1: Simplify the division of fractions by multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by switching the numerator and denominator.
Let's apply this step to the given problem:
6/7 ÷ (-6/5) = 6/7 * (5/-6)
Step 2: Multiply the numerators of both fractions together and the denominators together.
6 * 5 = 30
7 * -6 = -42
Now we have:
30/-42
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 30 and 42 is 6.
30 ÷ 6 = 5
-42 ÷ 6 = -7
Therefore, the result of the operation is:
30/-42 = 5/-7 or -5/7.
So, 6/7 ÷ (-6/5) simplifies to -5/7.