What is the quotient when you divide -2 3/5 by 4/5?
-2 3/4
4/13
-3 1/4
-25/52
To divide these fractions, you must first convert the mixed number -2 3/5 into an improper fraction.
-2 3/5 = (-2 * 5 + 3) / 5 = -13/5
The division of -13/5 by 4/5 is calculated by multiplying the numerator by the reciprocal of the second fraction.
(-13/5) * (5/4) = (-13 * 5) / (5 * 4) = -65/20 = -13/4 = -3 1/4
Therefore, the quotient is -3 1/4.
To divide -2 3/5 by 4/5, you can follow these steps:
Step 1: Convert the mixed number -2 3/5 to an improper fraction.
-2 3/5 = (-2 * 5 + 3) / 5 = (-10 + 3) / 5 = -7/5
Step 2: Divide the numerator (-7/5) by the denominator (4/5).
-7/5 ÷ 4/5
Step 3: To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
(-7/5) * (5/4)
Step 4: Simplify the fraction.
-7/5 * 5/4 = -7/4
Therefore, the quotient when you divide -2 3/5 by 4/5 is -7/4, or -1 3/4.