Challenge Level

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?**