: RATIO :

: RATIO :

1. FRACTIONAL RATIO

   • E.g 2/3 4/12
   • Ratio is expressed as a fraction with only 2 quantities
   • Never change a fractional ratio to mixed number!
     • E.g 5/3 ----> 1 2/3
   • Can we ADD/SUBTRACT Fractional Ratio?
     • ANS: YES & NO Sometimes we can ADD and SUBTRACT while sometimes we can't depending on the question.
       • Hence, operations are generally not performed in the case of fractional ratio
   • NO Multiplication&Division in Fractional Ratio

2. Used to compare quantities ( Represented by : )

3. E.g 2:3 4:12 3:5:8

4. Must be in whole number

5. Quantities can ONLY be compared in LIKE UNITS

6. Ratio does NOT have UNITS

7. Example: Tom has 5 marbles and Jerry has 10 marbles. What is the ratio of Jerry's marbles to Tom's? ANS: 10:5 or 2:1 SIMPLIFY IF POSSIBLE!

   • The order of quantities MUST be in ORDER

8. EQUIVALENT RATIO

   • The ratio should be expanded/raised by Multiplying each quantity by the common factor.
   • E.g 4:3 = 8:6

9. SIMPLIFYING RATIO

   • Reduce a ratio to its simplest form by dividing each quantity by the HIGHEST COMMON FACTOR
     • E.g 16:12:8:4 = 4:3:2:1 This is done by using 4 the HCF of these number to divide
     • If there are only 2 quantities you may express it as a fraction and then reduce it to the simplest form
       • E.g 15:25 = 15/25 = 3/5 = 3:5
         • Make use of HCF &SUCCESSIVE DIVISION
         • PERFORM CONVERSION OF UNITS IF NECESSARY!

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