Question

estimate the sum. round each number to the nearest whole number, then add.
$3\frac{19}{22} + 3\frac{20}{49}$
the sum is approximately \boxed{}.

Explanation:

Step1: Round \( 3\frac{19}{22} \) to nearest whole number

The fraction \( \frac{19}{22} \) is close to 1 (since \( \frac{19}{22} \approx 0.86 \), which is more than 0.5). So \( 3\frac{19}{22} \approx 4 \).

Step2: Round \( 3\frac{20}{49} \) to nearest whole number

The fraction \( \frac{20}{49} \approx 0.41 \), which is less than 0.5. So \( 3\frac{20}{49} \approx 3 \).

Step3: Add the rounded numbers

\( 4 + 3 = 7 \)

Answer:

7