Final answer:
To estimate the quotient 15 1/2 ÷ 3 2/3, multiply the fractions and simplify. The best estimate is 4.
Step-by-step explanation:
To estimate the quotient 15 1/2 ÷ 3 2/3, we can use the strategy of multiplying by reciprocals. We can rewrite 15 1/2 as an improper fraction, which is 31/2. Likewise, we can rewrite 3 2/3 as an improper fraction, which is 11/3.
Now, we can find the quotient by multiplying 31/2 by the reciprocal of 11/3, which is 3/11.
Multiplying these fractions gives us 93/22. Finally, we can simplify this fraction to the nearest whole number by dividing the numerator by the denominator, which gives us an estimate of 4.