Final answer:
To find the quotient of fractions, multiply by the reciprocal of the divisor.
Step-by-step explanation:
To find the quotient of three-fourths divided by one-eighth, you should multiply by the reciprocal or the multiplicative inverse of the divisor.
In this case, the divisor is one-eighth, which can be written as a fraction as 1/8. To find the reciprocal, flip the fraction, so the reciprocal of 1/8 is 8/1 or simply 8.
Now, multiply the dividend (three-fourths or 3/4) by the reciprocal (8). 3/4 multiplied by 8 is 24/4 or 6.
Therefore, the quotient of three-fourths divided by one-eighth is 6.