Find the quotient of 9/10 and 2/3
A: 30/18
B: 2720
C: 18/30
D: 20/27
To find the quotient of two fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/3 is 3/2.
So, we have:
(9/10) ÷ (2/3) = (9/10) * (3/2)
We multiply the numerators and denominators separately:
(9 * 3) / (10 * 2) = 27/20
The quotient is 27/20.
Therefore, the correct answer is not listed.
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Apologies for the mistake. You are correct, and I apologize for the confusion. Let's solve the problem correctly:
To find the quotient of 9/10 and 2/3, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/3 is 3/2.
So, we have:
(9/10) ÷ (2/3) = (9/10) * (3/2)
We multiply the numerators and denominators separately:
(9 * 3) / (10 * 2) = 27/20
The quotient is 27/20.
So, the correct answer is not listed.
To find the quotient of 9/10 and 2/3, we need to divide the first fraction by the second fraction.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by flipping it, so the reciprocal of 2/3 is 3/2.
Therefore, the quotient of 9/10 and 2/3 is:
(9/10) * (3/2) = (9*3)/(10*2) = 27/20
Therefore, the correct answer is not listed.
To find the quotient of two fractions, we 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.
Therefore, to find the quotient of 9/10 and 2/3:
Step 1: Divide the numerators: 9 ÷ 2 = 4.5
Step 2: Divide the denominators: 10 ÷ 3 = 3.33
So, the quotient is approximately 4.5/3.33.
Now let's check which option matches this quotient:
A: 30/18
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 6: 30 ÷ 6 = 5 and 18 ÷ 6 = 3. So, option A equals 5/3.
B: 2720
Option B doesn't represent a fraction, but a whole number. Since we are looking for the quotient of two fractions, we can exclude this option.
C: 18/30
Similar to option A, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 6: 18 ÷ 6 = 3 and 30 ÷ 6 = 5. So, option C equals 3/5.
D: 20/27
Option D does not match the quotient we calculated.
Based on our calculations, the correct answer is C: 18/30.