To evaluate Miko’s work, we first need to confirm the division of \( 5 \) by \( \frac{5}{3} \).
The division \( 5 \div \frac{5}{3} \) can be rewritten as:
\[ 5 \cdot \frac{3}{5} \]
This simplifies to:
\[ \frac{5 \cdot 3}{5} = \frac{15}{5} = 3 \]
So, the correct quotient is \( 3 \).
Next, we look at Miko’s multiplication check:
Miko multiplied \( 3 \) by \( \frac{5}{3} \):
\[ 3 \cdot \frac{5}{3} = \frac{3 \cdot 5}{3} = \frac{15}{3} = 5 \]
This means she got \( 5 \), which is the original number she started with.
Thus, in conclusion:
- Miko found the correct quotient of \( 3 \).
- She checked her work by multiplying back and, indeed, got back to \( 5 \).
So, the most accurate description of Miko’s work is:
Miko found the correct quotient and checked her work using multiplication correctly.