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Here are some examples you could try:
$4 + 1 \frac{1}{4}$ and $4 \times 1 \frac{1}{4}$
$5 + 1 \frac{1}{4}$ and $5 \times 1 \frac{1}{4}$
$5 + 1 \frac{1}{5}$ and $5 \times 1 \frac{1}{5}$
$6 + 1 \frac{1}{5}$ and $6 \times 1 \frac{1}{5}$
Which of these give the same answer for both calculations?
Can you use these examples to help you find some more pairs that have the same sum and product?