What is the quotient when you divide −10/11 by −2/5 ?(1 point)
Responses
2 3/11
2 Start Fraction 3 over 11 End Fraction
2 3/4
2 Start Fraction 3 over 4 End Fraction
−2 3/11
negative 2 Start Fraction 3 over 11 End Fraction
4/11
Start Fraction 4 over 11 End Fraction
To find the quotient when you divide -10/11 by -2/5, you need to multiply the dividend by the reciprocal of the divisor.
The reciprocal of -2/5 is -5/2.
So, you would multiply -10/11 by -5/2:
(-10/11) * (-5/2) = 50/22
Simplifying the fraction, 50/22 can be reduced to 25/11.
Therefore, the quotient is 25/11, which is equivalent to 2 3/11.
So, the correct answer is 2 3/11.
To find the quotient when you divide -10/11 by -2/5, follow these steps:
Step 1: Invert the divisor (the second fraction) by taking its reciprocal. The reciprocal of -2/5 is -5/2.
Step 2: Multiply the dividend (the first fraction) by the reciprocal of the divisor.
-10/11 * -5/2 = (10/11) * (5/2)
Step 3: Multiply the numerators together and the denominators together.
(10 * 5) / (11 * 2) = 50/22
Step 4: Simplify the fraction, if possible. In this case, both the numerator and the denominator can be divided by 2.
50/22 = (25 * 2) / (11 * 2) = 25/11
Therefore, the quotient when you divide -10/11 by -2/5 is 25/11.
To find the quotient when dividing two fractions, we can use the following steps:
1. The first step is to convert the division problem into a multiplication problem. To do this, we need to find the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
In this case, we have -10/11 divided by -2/5. To find the reciprocal of -2/5, we flip the numerator and denominator to get -5/2.
2. Next, we multiply the first fraction (-10/11) by the reciprocal of the second fraction (-5/2).
-10/11 * (-5/2)
3. To multiply fractions, we simply multiply the numerators to get the new numerator and the denominators to get the new denominator.
(-10 * -5) / (11 * 2)
50 / 22
4. Finally, we simplify the fraction if possible. In this case, both 50 and 22 are divisible by 2, so we can simplify by dividing both the numerator and denominator by 2.
50/22 = 25/11
Therefore, the quotient of -10/11 divided by -2/5 is 25/11.