Divide −3 1/7

by −2/3

1 answer

To divide −3 1/7 by −2/3, we first need to convert both numbers to fractions.

−3 1/7 can be written as a fraction as follows:
−3 1/7 = (-3 * 7 + 1) / 7 = -22/7

Similarly, −2/3 remains as it is.

Now, we can divide the fractions by multiplying the first fraction by the reciprocal of the second fraction.

Thus, (-22/7) / (-2/3) can be written as (-22/7) * (-3/2).

Simplifying this further, we get:

(-22/7) * (-3/2) = (22/7) * (3/2) = (22 * 3) / (7 * 2) = 66/14 = 33/7.

Therefore, −3 1/7 divided by −2/3 is equal to 33/7.