High School

Use a calculator to determine which ratios are less than or greater than the ratio 37 : 123.

a. 44 : 141
b. 36 : 95
c. 22 : 85
d. 117 : 403
e. 107 : 297
f. 51 : 178

Answer :

Final answer:

To determine which ratios are less than or greater than the ratio 37:123, compare each ratio to the given ratio using a calculator. The ratios that are greater than the given ratio are 44:141, 36:95, and 107:297. The ratios that are less than the given ratio are 22:85, 117:403, and 51:178.

Explanation:

To determine which ratios are less than or greater than the ratio 37:123, we need to compare each ratio to the given ratio. Let's calculate the value of the given ratio using a calculator:

37 ÷ 123 = 0.300813008

Now, let's compare this value to the values of the other ratios:

  1. 44 ÷ 141 = 0.312057 (greater than)
  2. 36 ÷ 95 = 0.378947 (greater than)
  3. 22 ÷ 85 = 0.258824 (less than)
  4. 117 ÷ 403 = 0.290325 (less than)
  5. 107 ÷ 297 = 0.360269 (greater than)
  6. 51 ÷ 178 = 0.286517 (less than)

Based on these calculations, the ratios that are greater than the given ratio 37:123 are 44:141, 36:95, and 107:297. The ratios that are less than the given ratio are 22:85, 117:403, and 51:178.

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