Use the given tables to compare the ratios 3:5

and 2:3
.

3 5
6 10
9 15
12 20
15 25
2 3
4 6
6 9
8 12
10 15


(1 point)
Responses

3:5 = 2:3
ratio of 3 to 5 is equal to ratio of 2 to 3

3:5 > 2:3
3:5 > 2:3

3:5 < 2:3
ratio of 3 to 5 is less than ratio of 2 to 3

More rows need to be added to the tables to be able to compare the ratios.
More rows need to be added to the tables to be able to compare the ratios.
Skip to navigation

1 answer

To compare the ratios \(3:5\) and \(2:3\), we can convert them to decimal form or find a common denominator.

  1. Convert to Decimal Form:
    • For \(3:5\): \[ \frac{3}{5} = 0.6 \]
    • For \(2:3\): \[ \frac{2}{3} \approx 0.6667 \]

From the decimal comparisons:

  • \(0.6 < 0.6667\)
  1. Cross-Multiply:
    • To compare directly, we can cross-multiply: \[ 3 \times 3 = 9 \quad \text{and} \quad 5 \times 2 = 10 \] Since \(9 < 10\), it confirms that \(3:5 < 2:3\).

Based on the comparisons, the correct response is:

3:5 < 2:3 (ratio of 3 to 5 is less than ratio of 2 to 3).

Similar Questions
  1. Use the given tables to compare the ratios and . Which ratio is greater?8 9 16 18 24 27 32 36 5 6 10 12 15 18 20 24 (1 point) 16
    1. answers icon 1 answer
  2. Compare Ratios Quick Check4 of 54 of 5 Items Question Compare the ratios 7:4 and 12:5 using the following tables. Finish the
    1. answers icon 2 answers
  3. Compare Ratios Quick Check5 of 55 of 5 Items Question Use the given tables to compare the ratios 16:18 and 5:6 . Which ratio is
    1. answers icon 7 answers
    1. answers icon 1 answer
more similar questions