ClassMetric

Ratios and proportions

Lesson 10 of 20 in Union Aptitude Prep. The start plays free here.

Union Aptitude PrepRatios and proportions
A ratio compares two amounts
  1. Compare two wire lengths
  2. One amount: the first length
  3. Another amount: the second length
Ratios, rates, and proportions
  1. Ratio: same units
  2. Rate: different units
  3. Test: 2/3 = 4/6
  4. Cross products: 3 × 4 and 6 × 2
  5. 12 = 12: true proportion
Two amountsYou want to compare the lengths of two wires. A ratio is a comparison of two amounts.Same unitsYou compare 2 feet of wire with 3 feet of wire. Both quantities use feet. That comparison is a ratio.

How the lesson starts

Two amounts

You want to compare the lengths of two wires. A ratio is a comparison of two amounts. Here, those amounts are the wire lengths.

Same units

You compare 2 feet of wire with 3 feet of wire. Both quantities use feet. That comparison is a ratio.

Then, in the full lesson

  • Different units
  • Test the equality
  • Multiply diagonally
  • Equal products
  • 2 questions along the way

A question from this lesson

You compare wire lengths and work hours. Which comparison is a rate?

  1. 12 feet to 3 hours
  2. 12 feet to 3 feet
  3. 12 hours to 3 hours
Show the answer

A. 12 feet to 3 hours. 12 feet to 3 hours compares different units, so it is a rate. Feet compared with feet and hours compared with hours use the same units, so those are ratios.

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