-10/11 by -2/5
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
Thus, (-10/11) / (-2/5) can be written as (-10/11) * (5/-2).
Multiplying the numerators and denominators, we get:
(-10 * 5) / (11 * -2) = -50 / -22.
Since the numerator and denominator are both negative, they cancel each other out, resulting in:
50 / 22.
This fraction simplifies to:
25 / 11.
To divide fractions, follow these steps:
Step 1: Flip the second fraction. In this case, the second fraction is -2/5, so when flipped, it becomes 5/(-2).
Step 2: Multiply the first fraction with the flipped second fraction. (-10/11) x (5/(-2)).
Step 3: Simplify the resulting fraction, if possible.
Proceeding with the calculation:
(-10/11) x (5/(-2)) = (-10 x 5) / (11 x (-2)) = -50 / -22
Step 4: If any, cancel common factors in the numerator and denominator. In this case, 2 is a common factor.
-50 / -22 = (-25 x 2) / (-11 x 2) = -25 / -11
Step 5: The final result is -25 / -11. However, to simplify further, since both the numerator and denominator are negative, we can cancel out the negatives.
The simplified division of -10/11 by -2/5 is 25/11.