Divide decimals and fractions quick check what is the quoting it when you divide -2 3/5 by 4/5

1 answer

To divide -2 3/5 by 4/5, we need to convert the mixed number -2 3/5 to an improper fraction.

-2 3/5 can be written as -2 + 3/5. To convert it to an improper fraction, we first multiply the whole number (-2) by the denominator of the fraction (5) and add the numerator (3). This gives us (-2 * 5) + 3 = -10 + 3 = -7.

So, -2 3/5 can be written as -7/5.

Now, we can divide -7/5 by 4/5. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 4/5 is 5/4.

Therefore, (-7/5) / (4/5) = -7/5 * 5/4.

Simplifying this expression, we get:

=(-7 * 5) / (5 * 4)
=(-35) / (20)

Therefore, the quotient when dividing -2 3/5 by 4/5 is -35/20.