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
4/11
Start Fraction 4 over 11 End Fraction
−2 3/11
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 the division becomes: (-10/11) * (-5/2)
Multiplying the two fractions gives: (5*10)/(11*2) = 50/22
Simplifying the fraction gives: 25/11
Therefore, the quotient is 25/11 or 2 3/11.
So the correct response is: 2 3/11.
What is the quotient when you divide −34 by 38?(1 point)
Responses
−3 5/9
negative 3 Start Fraction 5 over 9 End Fraction
−9/32
negative Start Fraction 9 over 32 End Fraction
2
−2
To find the quotient when you divide −34 by 38, you simply perform the division:
−34 ÷ 38 = -0.8947...
The quotient cannot be simplified further as it is a decimal. Therefore, the correct response is: -0.8947...
None of the provided responses match this value, so none of the options are correct.
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.
Multiplying −10/11 by −5/2, we get (-10/11) * (-5/2) = (50/22).
Simplifying 50/22, we get 2 3/11 as the quotient.
To find the quotient when you divide −10/11 by −2/5, you need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
So, −10/11 divided by −2/5 can be calculated as (−10 ÷ −2) divided by (11 ÷ 5).
To divide −10 by −2, you can multiply the reciprocal of the second fraction, which is 5/−2. So, −10 ÷ −2 can be written as −10 * (−2/5).
Multiplying −10 by −2 gives you 20, and multiplying 5 by 1 gives you 5.
Therefore, the quotient is 20/5, which simplifies to 4.
The correct answer is 4.