Solve the Fives Challenge by using exactly four fives and arithmetic operations to reach the target numbers.

Let’s solve each row one by one. We must use exactly four 5s and any combination of +, −, ×, ÷, and parentheses to get the target number on the right.

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Row 1: 5 5 5 5 = 3

We need to make 3 using four 5s.

Try this:
(5 + 5 + 5) ÷ 5 = 15 ÷ 5 = 3 ✔

That works!

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Row 2: 5 5 5 5 = 5

We need to make 5.

One simple way:
5 + (5 - 5) × 5 = 5 + 0 × 5 = 5 + 0 = 5 ✔

Or even simpler:
5 × (5 ÷ 5) × (5 ÷ 5) — wait, that uses more than four 5s? No, let’s count: 5, 5, 5, 5 → that’s four. But actually, 5 × (5 ÷ 5) × (5 ÷ 5) is five 5s? Wait no — let’s write it clearly:

Actually, better:
5 + 5 - 5 + 5? That’s 10 — too big.

Wait — how about:
(5 × 5) ÷ (5 × 5) = 25 ÷ 25 = 1 — not 5.

Another idea:
5 × (5 - 5) + 5 = 0 + 5 = 5 ✔ Yes! Uses four 5s: 5, 5, 5, 5.

So: 5 × (5 - 5) + 5 = 5

But we can also do:
5 + (5 - 5) × 5 — same thing.

Either way, it works.

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Row 3: 5 5 5 5 = 6

Need to make 6.

Try:
(5 × 5 + 5) ÷ 5 = (25 + 5) ÷ 5 = 30 ÷ 5 = 6 ✔

Perfect.

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Row 4: 5 5 5 5 = 26

This is trickier.

Think: 5 × 5 = 25, then add 1? How to make 1 with two 5s?

5 ÷ 5 = 1

So: 5 × 5 + 5 ÷ 5 = 25 + 1 = 26 ✔

Uses four 5s: yes.

Order of operations: multiplication and division first, so 5×5=25, 5÷5=1, then 25+1=26.

Good.

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Row 5: 5 5 5 5 = 30

Need 30.

5 × 5 = 25, then add 5? That’s 30, but we have one 5 left.

Wait: 5 × 5 + 5 = 30, but that’s only three 5s.

We need four.

How about: (5 + 5 + 5) × something?

5 + 5 + 5 = 15, times 2? But we don’t have a 2.

Wait — 5 × (5 + 5 ÷ 5) = ?

First, 5 ÷ 5 = 1, then 5 + 1 = 6, then 5 × 6 = 30 ✔

Yes! So: 5 × (5 + 5 ÷ 5) = 30

Check: innermost: 5 ÷ 5 = 1; then 5 + 1 = 6; then 5 × 6 = 30. Perfect.

Uses four 5s.

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Now let’s write all answers neatly.

Final Answer:
- For 3: (5 + 5 + 5) ÷ 5
- For 5: 5 + (5 - 5) × 5
- For 6: (5 × 5 + 5) ÷ 5
- For 26: 5 × 5 + 5 ÷ 5
- For 30: 5 × (5 + 5 ÷ 5)