To find the quotient of two fractions, we need to divide the numerators and divide the denominators.
The quotient of two fractions is given by:
(quotient) = (numerator1 / denominator1) ÷ (numerator2 / denominator2)
In this case, the two fractions are 9/10 and 2/3:
= (9/10) ÷ (2/3)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
= (9/10) × (3/2)
Multiplying the numerators gives us:
= (9 × 3) / (10 × 2) = 27/20
Therefore, the quotient of 9/10 and 2/3 is 27/20 or 1.35.