use the operation to find the quotient

-2 2/11 \ (-2 2/3)

1 answer

To find the quotient of -2 2/11 divided by -2 2/3, we first need to convert both mixed numbers into improper fractions.

-2 2/11 can be written as -2 * 11/11 + 2/11, which simplifies to -22/11 + 2/11 = -20/11.

-2 2/3 can be written as -2 * 3/3 + 2/3, which simplifies to -6/3 + 2/3 = -4/3.

Now, we can perform the division:

(-20/11) รท (-4/3) = (-20/11) * (3/(-4))

When multiplying fractions, we can multiply the numerators together and multiply the denominators together:

= (-20 * 3) / (11 * -4)

= -60 / -44

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:

= -15 / -11

Finally, we can simplify the simplified fraction by dividing both the numerator and the denominator by -1 (to ensure the sign is positive):

= 15 / 11

Therefore, the quotient of -2 2/11 divided by -2 2/3 is 15/11.