5:2

Here’s a quick refresher on the ratio 5:2.

• Meaning: The first quantity is 5 parts, the second is 2 parts. gcd(5,2)=1, so it’s already in simplest form.
• As a fraction: 5/2 = 2.5 (the first quantity is 2.5 times the second).
• As a ratio of totals: If the total is T, the parts are 5/7 T and 2/7 T (since 5+2=7).
• Percent of total: first part = 5/7 ≈ 71.43%, second part = 2/7 ≈ 28.57%.
• If you know the total or one part:
  • Given total T: first = (5/7)T, second = (2/7)T.
  • Given one part value A for the first: second = (2/5)A; or if A is the second, first = (5/2)A.

Examples:

• Total 70 units: first = (5/7)*70 = 50, second = (2/7)*70 = 20.
• If the first part is 25: second = (2/5)*25 = 10 (so 25:10 simplifies to 5:2).

Would you like me to apply this to a specific problem you have? If you give a total or a known part, I’ll compute the rest.