what is the quotient when u divide -2 3/5 by 4/5
To divide -2 3/5 by 4/5, we need to convert the mixed number -2 3/5 into an improper fraction.
-2 3/5 = -(2*5 + 3)/5 = -13/5
Now, we can divide -13/5 by 4/5:
(-13/5) / (4/5) = (-13/5) * (5/4) [flipping the divisor and multiplying]
= -13/4
Therefore, the quotient is -13/4.
To divide a mixed number by a fraction, you can follow these steps:
Step 1: Convert the mixed number to an improper fraction.
- The mixed number -2 3/5 can be written as (-2*5 + 3)/5 = (-10 + 3)/5 = -7/5.
Step 2: Invert the divisor (the fraction you want to divide by).
- The divisor is 4/5, so its inverse is 5/4.
Step 3: Multiply the dividend (the numerator) by the inverted divisor.
- (-7/5) * (5/4) = -7 * 5 / 5 * 4.
Step 4: Simplify the fraction, if possible.
- -7 * 5 = -35, 5 * 4 = 20, so the quotient is -35/20.
The simplified quotient is -35/20.