What is the quotient when you divide −1011 by −25?(1 point)
The quotient when you divide −1011 by −25 is 40.
What is the quotient when you divide −10/11 by −2/5? (1 point)
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of -2/5 is -5/2.
So, (-10/11)/(-2/5) = (-10/11) * (-5/2).
Multiplying the numerators and denominators give:
(-10 * -5)/(11 * 2) = 50/22 = 25/11.
Therefore, the quotient when you divide -10/11 by -2/5 is 25/11.
What is the quotient when you divide −3/4 by 3/8? (1 point)
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/8 is 8/3.
So, (-3/4)/(3/8) = (-3/4) * (8/3).
Multiplying the numerators and denominators give:
(-3 * 8)/(4 * 3) = -24/12 = -2.
Therefore, the quotient when you divide -3/4 by 3/8 is -2.
What is the quotient when you divide −2 3/5 by 4/5?(1 point)
To divide a mixed number by a fraction, you first convert the mixed number to an improper fraction, and then perform the division.
Converting -2 3/5 to 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) = -65/20.
The fraction -65/20 can be simplified by dividing both the numerator and denominator by the greatest common divisor, which is 5:
-65/20 = (-13/4) * (1/1) = -13/4.
Therefore, the quotient when you divide -2 3/5 by 4/5 is -13/4.
What is the quotient when you divide −2 3/5 by 4/5?
To divide a mixed number by a fraction, you can first convert the mixed number to an improper fraction and then perform the division.
Converting -2 3/5 to an improper fraction:
-2 3/5 = -2 + 3/5.
To combine the whole number and fraction, multiply the denominator of the fraction by the whole number (-2), and add the result to the numerator (3):
-2 3/5 = (-2 * 5 + 3)/5 = (-10 + 3)/5 = -7/5.
Now, we can divide -7/5 by 4/5:
(-7/5)/(4/5) = (-7/5) * (5/4).
The 5s in the numerator and denominator cancel out:
= -7/4.
Therefore, the quotient when you divide -2 3/5 by 4/5 is -7/4.