Question

1. which expression is the best estimate for $1\frac{3}{4} + 2\frac{3}{8}$? (7-4)

a $2 + 2$
b $1 + 2$
c $2 + 3$
d $1 + 3$

Explanation:

Step1: Analyze the mixed numbers

The first number is \(1\frac{3}{4}\), which is close to 2 (since \(\frac{3}{4}\) is close to 1, so \(1+\frac{3}{4}\approx2\)). The second number is \(2\frac{3}{8}\), which is close to 2 (since \(\frac{3}{8}\) is less than 1, so \(2 + \frac{3}{8}\approx2\)).

Step2: Estimate the sum

So the sum \(1\frac{3}{4}+2\frac{3}{8}\) can be estimated by adding the whole number approximations, which is \(2 + 2\).

Answer:

A. \(2 + 2\)