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Ratio, proportion and percentages
Ratio, proportion and percentages

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1.4.1 Try some yourself

Activity 5

Convert each of the following fraction ratios to decimal ratios.

  • (a)

  • (b)

  • (c)

  • (d)

Answer

  • (a) = 0.2

  • (b) = 0.3333 ... this repeats indefinitely. As a decimal, you need to terminate after some finite number of places, e.g. 0.3333 to four decimal places.

  • (c) = 1.5

  • (d) = 2.25

    Alternatively, 2 is 2.00, is 0.25, and adding them together gives 2.25.

Activity 6

Convert each of the following decimal ratios to fraction ratios.

  • (a) 0.25

  • (b) 1.135

  • (c) 0.064

Answer

  • (a) 0.25 =

  • (b)1.135 =

  • (c)0.064 =

Activity 7

A recipe for a casserole involves soaking dried beans. The beans require litres of water per kilogram of beans. If you have kilograms of beans, how much water is required?

Answer

You need to multiply by . First convert to top-heavy fractions or decimals:

Follow-up in Section 3.1.2

Alternatively 2.5 × 1.75 = 4.375.

So or 4.375 litres of water is required.