Unit Rates with Ratios of Fractions Quick Check
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Question
Find the quotient of 9/10 and 2/3 .(1 point)
Responses
2027
Start Fraction 20 over 27 End Fraction
2720
Start Fraction 27 over 20 End Fraction
1830
Start Fraction 18 over 30 End Fraction
3018
Start Fraction 9 over 10 End Fraction divided by Start Fraction 2 over 3 End Fraction is equal to Start Fraction 9 over 10 End Fraction times Start Fraction 3 over 2 End Fraction.
This simplifies to Start Fraction 27 over 20 End Fraction.
So the correct answer is Start Fraction 27 over 20 End Fraction.
To find the quotient of 9/10 and 2/3, you need to divide 9/10 by 2/3.
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction. So, the reciprocal of 2/3 is 3/2.
Multiply 9/10 by 3/2:
(9/10) * (3/2) = (27/20)
So, the quotient of 9/10 and 2/3 is:
Start Fraction 27 over 20 End Fraction.
To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction, and then divide the denominator of the first fraction by the denominator of the second fraction.
In this case, the first fraction is 9/10 and the second fraction is 2/3.
To find the quotient, you need to perform the following calculations:
9 ÷ 2 = 4.5 (divide the numerator of the first fraction by the numerator of the second fraction)
10 ÷ 3 = 3.333 (divide the denominator of the first fraction by the denominator of the second fraction)
So, the quotient is 4.5/3.333.
In fraction form, this can be written as 4.5/3.333 or as a simplified fraction, approximately 20/27.
Therefore, the correct answer is Start Fraction 20 over 27 End Fraction.