Ratio Sharing — Multiply & Divide Pathway

Sharing in a ratio

  • A ratio tells you how to split a total into unequal parts.
  • First add the ratio numbers to find total parts.
  • Divide the amount by total parts to find one part.
  • Then multiply by each ratio number.

Example: Share 40 in the ratio 3:5

  1. Step 1: Total parts = 3 + 5 = 8.
  2. Step 2: One part = 40 / 8 = 5.
  3. Step 3: First share = 3 x 5 = 15.
  4. Step 4: Second share = 5 x 5 = 25. Check: 15 + 25 = 40.

Your turn

  • Try: Share 30 in the ratio 2:3.
  • Total parts = 2 + 3 = 5.
  • One part = 30 / 5 = 6.
  • Shares: 2 x 6 = 12, and 3 x 6 = 18. Check: 12 + 18 = 30.

Common Mistakes to Avoid

  • Forgetting to add the ratio parts first. Total parts = sum of all ratio numbers.
  • Dividing by one ratio number instead of the total. Always divide by the TOTAL parts first.

Real-Life Example

Two siblings share 40 pounds in the ratio 3:5. Total parts = 3 + 5 = 8. One part = 40 / 8 = 5 pounds. First gets 3 x 5 = 15 pounds, second gets 5 x 5 = 25 pounds.

Extra Support Hints

  • Always find one part first, then multiply by each ratio number.
  • Check by adding: 15 + 25 = 40. It should match the original amount.
Start the interactive Ratio Sharing lesson →