what is the quotient of 9/10 and 2/3
To find the quotient of 9/10 and 2/3, you need to divide 9/10 by 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, 9/10 ÷ 2/3 is the same as 9/10 × 3/2.
Multiplying the numerators gives you 9 × 3 = 27, and multiplying the denominators gives you 10 × 2 = 20.
So, the quotient of 9/10 and 2/3 is 27/20.
To find the quotient of two fractions, you need to divide the numerator (top number) of the first fraction by the numerator of the second fraction, and divide the denominator (bottom number) 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 divide the numerators, you perform the calculation 9 ÷ 2, which equals 4.5.
To divide the denominators, you perform the calculation 10 ÷ 3, which equals 3.33 (approximately).
Therefore, the quotient of 9/10 and 2/3 is approximately 4.5/3.33.
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.
Given the fractions 9/10 ÷ 2/3, the steps to find the quotient are as follows:
Step 1: Invert the second fraction (divisor) by swapping the numerator and denominator. This gives us 2/3 ÷ 10/9.
Step 2: Multiply the first fraction (dividend) by the inverted second fraction. Multiply the numerators together and the denominators together: (9/10) * (9/10) = (9 * 3) / (10 * 2).
Step 3: Simplify the resulting fraction by reducing the numerator and denominator if possible. In this case, (27/20) cannot be simplified further.
Step 4: The final answer is 27/20.
Therefore, the quotient of 9/10 ÷ 2/3 is 27/20.