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This is the class photo of Section B. Using the key, what is the ratio of girls to the TOTAL number of children, in simplest form?

Class 6Ratio and ProportionRatio and Proportion
  • A2 : 3
  • B2 : 5
  • C3 : 5
  • D6 : 9

Step-by-Step Solution

Count: 6 girls and 9 boys, so 15 children in all. Girls : total . (2 : 3 is girls : boys; 6 : 9 is also girls : boys, not simplified.)
Answer: B) 2 : 5

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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