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Ravi writes a chain of equivalent ratios starting from 7 : 11 — namely 7 : 11, 14 : 22, 21 : 33, and so on. Further along the chain he writes 42 : ___. What number completes this pair?

Class 6Ratio and ProportionRatio and Proportion
  • A44
  • B46
  • C55
  • D66

Step-by-Step Solution

42 = , so the second term must also be multiplied by 6: . The value 46 comes from ADDING 35 to 11 instead of multiplying — equivalent ratios are built by multiplying (or dividing) both terms, never by adding. 44 and 55 belong to the earlier pairs 28 : 44 and 35 : 55.
Answer: D) 66

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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