What is the quotient when you divide −2 3/5 by 4/5 ?(1 point)
Responses
−2 3/4
−3 1/4
−25/52
4/13
The correct answer is −3 1/4.
To divide −2 3/5 by 4/5, you need to convert the mixed numbers to improper fractions.
First, convert −2 3/5 into an improper fraction. Since there are 5 fifths in a whole, -2 is equivalent to -10/5. Adding this to 3/5 gives us -10/5 + 3/5 = -7/5.
Next, convert 4/5 into an improper fraction. Since there are 5 fifths in a whole, 4 is equivalent to 4/1.
Now that both numbers are improper fractions, you can divide them by multiplying the first fraction by the reciprocal of the second fraction.
Reciprocal of 4/1 is 1/4.
Therefore, -7/5 ÷ 4/5 = -7/5 x 1/4 = -7/20.
The quotient when you divide −2 3/5 by 4/5 is -7/20.
To find the quotient when you divide -2 3/5 by 4/5, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-2 3/5 as an improper fraction is: (-2 * 5 + 3)/5 = -13/5
4/5 is already in fractional form.
Step 2: Invert the divisor (the second fraction) and multiply it with the dividend (the first fraction).
-13/5 * 5/4 = (-13 * 5)/(5 * 4) = -65/20
Step 3: Simplify the result, if possible.
The simplified form of -65/20 is -13/4.
Therefore, the quotient when you divide -2 3/5 by 4/5 is -13/4. Therefore, the correct response is "−13/4".