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For a sand painting, Sneha used 56 g of red powder and 96 g of yellow powder. Write the ratio of red powder to yellow powder in simplest form.

Class 6Ratio and ProportionRatio and Proportion
  • A7 : 12
  • B12 : 7
  • C14 : 24
  • D7 : 19

Step-by-Step Solution

Red : yellow = 56 : 96. HCF of 56 and 96 is 8, giving 7 : 12. The option 14 : 24 comes from dividing by only 4, so it is not yet simplest. 7 : 19 compares the red powder with the total 152 g, and 12 : 7 reverses the order.
Answer: A) 7 : 12

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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