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Which of these ratios is NOT equivalent to 6 : 14?

Class 6Ratio and ProportionRatio and Proportion
  • A3 : 7
  • B9 : 21
  • C18 : 35
  • D12 : 28

Step-by-Step Solution

6 : 14 simplifies to 3 : 7. Multiplying 3 : 7 by 3 gives 9 : 21 and by 4 gives 12 : 28, so both are equivalent. For a first term of 18 the matching second term would be 42, not 35, so 18 : 35 is the odd one out.
Answer: C) 18 : 35

Key idea: Equivalent ratios and simplest form

Just like equivalent fractions: multiply or divide both parts of a ratio by the same non-zero number to get an equivalent ratio. 2 : 3 = 4 : 6 = 6 : 9 = 20 : 30. The **simplest form** is when the two parts share no common factor other than 1. So 20 : 30 simplifies (divide both by 10) to 2 : 3.

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