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Part 01 · Number and ratio · Card 5 of 9

Ratio

A way to compare amounts. 2:3 means for every 2 parts of one thing there are 3 parts of another.

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Analogy

Like a squash recipe: 1 part juice to 4 parts water.

Example

Share 60 in ratio 2:3

Total parts = 2 + 3 = 51 part = 60 / 5 = 12Shares: 24 and 36

In practice

Mixing paint, sharing profits and reading map scales all use ratios.

Practice

Flashcards

  • Share 60 in the ratio 2:3.24 and 36. There are 5 parts of 12 each.

Questions people ask

How do you share an amount in a ratio?

Add the ratio numbers to get the total parts, divide the amount by that total to find one part, then multiply by each ratio number. Sharing 60 in the ratio 2:3 gives 5 parts, 12 each, so 24 and 36.

How do you simplify a ratio?

Divide every number in the ratio by the same number, just like simplifying a fraction. For 12:18, both divide by 6, giving 2:3. Keep going until no number divides into all parts. The ratio then stays equal but is easier to use.