What is the quotient when you divide −2 3/5 by 4/5?(1 point)
Responses
−2 3/4
−3 1/4
4/13
−25/52
To divide −2 3/5 by 4/5, we need to convert the mixed number into an improper fraction.
-2 3/5 = -2 * 5/5 + 3/5
= -10/5 + 3/5
= -7/5
Now, we can divide -7/5 by 4/5.
(-7/5) ÷ (4/5) = (-7/5) * (5/4)
= -7/4
Therefore, the quotient is -7/4, which is equivalent to −1 3/4.
So, the correct answer is option 1: −2 3/4.
To divide −2 3/5 by 4/5, you need to apply the following steps:
1. Convert −2 3/5 to an improper fraction:
Multiply the whole number -2 by the denominator 5 and add the numerator 3.
The result is (-2 * 5) + 3 = -10 + 3 = -7.
So, −2 3/5 is equivalent to -7/5.
2. Divide -7/5 by 4/5:
When you divide fractions, you need to multiply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).
-7/5 ÷ 4/5 can be rewritten as -7/5 * 5/4.
3. Simplify the expression:
Cancel out the common factors between the numerators and denominators.
-7/5 * 5/4 = -7/1 * 1/4 = (-7 * 1) / (1 * 4) = -7/4.
So, the quotient when you divide −2 3/5 by 4/5 is −7/4.