The expression that gives the best estimate of 35 percent of 88 is 1/3(90).
To see why, we can first convert 35% to a fraction by dividing 35 by 100:
35% = 35/100
We can simplify this fraction by dividing both the numerator and denominator by 5:
35/100 = 7/20
To find 35% of 88, we can multiply 88 by 7/20:
35% of 88 = (7/20) * 88
To estimate this product, we can use the fact that 7/20 is approximately equal to 1/3, which means that
(7/20) * 88 ≈ (1/3) * 88
Multiplying 1/3 by 88 is the same as dividing 88 by 3, which gives an approximate value of 29.3.
Therefore, 1/3(90) gives the best estimate of 35% of 88, which is approximately 29.3.