Find the quotient of 9/10 and 2/3.(1 point)
Responses
18/30
Start Fraction 18 over 30 End Fraction
30/18
Start Fraction 30 over 18 End Fraction
20/27
Start Fraction 20 over 27 End Fraction
27/20
Start Fraction 27 over 20 End Fraction
Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)
Responses
12 hours
12 hours
9/4 hours
Start Fraction 9 over 4 End Fraction hours
4 hours
4 hours
6 hours
Start Fraction 4 over 3 End Fraction hours
To find the quotient of 9/10 and 2/3, 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, the quotient is (9/10) / (2/3).
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2/3 is 3/2.
Therefore, the quotient is (9/10) * (3/2).
(9/10) * (3/2) = (9 * 3) / (10 * 2) = 27/20.
So, the quotient of 9/10 and 2/3 is 27/20.
To find the quotient of two fractions, we need to divide the first fraction by the second fraction.
In this case, we want to find the quotient of 9/10 and 2/3. To do this, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is found by flipping the fraction upside down. So, the reciprocal of 2/3 is 3/2.
Now, let's multiply the first fraction (9/10) by the reciprocal of the second fraction (3/2):
(9/10) * (3/2) = (9 * 3) / (10 * 2) = 27/20
Therefore, the quotient of 9/10 and 2/3 is 27/20.