Question

Which expression is equivalent to 8 + 4/3 + 4 • 2 + 3

Answer 1

To simplify the expression \( 8 + \frac{4}{3} + 4 \cdot 2 + 3 \), we will calculate step by step.

1. Calculate \( 4 \cdot 2 \):
\[
4 \cdot 2 = 8
\]

2. Replace \( 4 \cdot 2 \) in the expression:
\[
8 + \frac{4}{3} + 8 + 3
\]

3. Combine the integers together:
\[
8 + 8 + 3 = 19
\]

4. Now combine it with \( \frac{4}{3} \):
\[
19 + \frac{4}{3}
\]

5. To add \( 19 \) and \( \frac{4}{3} \), convert \( 19 \) to a fraction:
\[
19 = \frac{57}{3}
\]

6. Now add the two fractions:
\[
\frac{57}{3} + \frac{4}{3} = \frac{57 + 4}{3} = \frac{61}{3}
\]

Thus, the expression \( 8 + \frac{4}{3} + 4 \cdot 2 + 3 \) is equivalent to:

\[
\frac{61}{3}
\]