What is the quotient when you divide -2 3/5 x 4/5

1 answer

To find the quotient when you divide -2 3/5 by 4/5, you need to convert the mixed number -2 3/5 into an improper fraction.

To do this, multiply the whole number (-2) by the denominator of the fraction (5) and add the numerator (3). The result is (-2) * 5 + 3 = -10 + 3 = -7.

Now rewrite the mixed number as an improper fraction: -2 3/5 = -7/5.

Next, divide -7/5 by 4/5. When dividing fractions, you can multiply the dividend (-7/5) by the reciprocal of the divisor (4/5). The reciprocal of a fraction can be obtained by flipping the numerator and denominator.

So, the reciprocal of 4/5 is 5/4. Multiply -7/5 by 5/4: (-7/5) * (5/4) = (-7 * 5) / (5 * 4) = -35/20.

The quotient when you divide -2 3/5 by 4/5 is -35/20.