Double Number Line for Modeling

Find Equivalent Ratios

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Find Equivalent Ratios

  • The ratio 15:20 is equivalent to the ratio 3:4. Explain why and make a double number line to support your explanation.
  • Express each of these ratios as a fraction in simplest form:
    1. 14:35
    2. 15:18
    3. 26:39
  • Show the ratio 2:3 and three other equivalent ratios on a double number line.
  • The ratio 2:5 can be expressed as the decimal 0.4. Explain why.

Ask yourself:

  • When you make a double number line, what pairs of numbers do you need to line up?
  • What operation do you use to express a ratio as a decimal?