Question
Find the quotient of 9/10 and 2/3.(1 point)
Responses
1830
Start Fraction 18 over 30 End Fraction
3018
Start Fraction 30 over 18 End Fraction
2720
Start Fraction 27 over 20 End Fraction
2027
Start Fraction 27 over 20 End Fraction
To find the quotient of 9/10 and 2/3, 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.
So, the quotient is:
(9/10) / (2/3) = (9/10) * (3/2) = (9 * 3) / (10 * 2) = 27/20
Therefore, 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 divide the denominator of the first fraction by the denominator of the second fraction.
In this case, we have 9/10 divided by 2/3.
To calculate the numerator of the quotient, we divide 9 by 2, which equals 4.5.
To calculate the denominator of the quotient, we divide 10 by 3, which equals approximately 3.3333.
Therefore, the quotient of 9/10 and 2/3 is approximately 4.5/3.3333.
If we simplify this fraction, we can multiply both the numerator and denominator by 10000 to remove the decimal places:
(4.5/3.3333) * 10000/10000 = 45000/33333.3
To further simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 3333.3 (approximately):
45000/33333.3 ÷ 3333.3/3333.3 ≈ 45/33
So, the simplified quotient of 9/10 and 2/3 is approximately 45/33.