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To find the quotient of 10 ÷ 3/4, we need to divide 10 by 3/4.
First, we will convert the divisor, 3/4, into its reciprocal: 4/3.
Next, we multiply the dividend (10) by the reciprocal of the divisor (4/3):
10 * 4/3 = 40/3
Therefore, the quotient of 10 ÷ 3/4 is 40/3.