Ratio Division

Learn

Divide a total amount according to a given ratio.

Ratio division problems ask you to split a total into parts according to a ratio. First, add the ratio parts to find the total number of 'shares'. Then divide the total amount by this number to find the value of one share. Finally, multiply by each ratio part to get the actual amounts.

Total T split in ratio a:b → Part A = T × a/(a+b), Part B = T × b/(a+b)

• Split $100 in ratio 3:2 → Shares = 5, each share = $20 → Parts are $60 and $40
• Divide 45 items in ratio 4:5 → Shares = 9, each = 5 → Parts are 20 and 25
• Split 120 in ratio 1:2:3 → Shares = 6, each = 20 → Parts are 20, 40, and 60

How to recognize it

• A total amount needs to be divided
• The division follows a specified ratio
• Add ratio parts first to find total shares

Common mistakes

• Forgetting to add ratio parts to find total shares
• Dividing by only one ratio part instead of the sum
• Mixing up which part corresponds to which share

Practice guidance

Numerical Reasoning