The amount of oil used in four different recipes is shown in the table.

Recipe
Oil
Bread
2/8 cup
Cookies
1/3 cup
Cake
1/5 cup
Pie
1/7 cup

Which recipe uses the most oil?
bread
cookies
cake
pie

1 answer

To determine which recipe uses the most oil, we need to compare the amounts in the same form. Let's convert each fraction to a common denominator to make the comparison easier. The common denominator for 8, 3, 5, and 7 is 840.

Now, let's convert each amount of oil:

  1. Bread: \( \frac{2}{8} \) cup \[ \frac{2}{8} = \frac{2 \times 105}{8 \times 105} = \frac{210}{840} \]

  2. Cookies: \( \frac{1}{3} \) cup \[ \frac{1}{3} = \frac{1 \times 280}{3 \times 280} = \frac{280}{840} \]

  3. Cake: \( \frac{1}{5} \) cup \[ \frac{1}{5} = \frac{1 \times 168}{5 \times 168} = \frac{168}{840} \]

  4. Pie: \( \frac{1}{7} \) cup \[ \frac{1}{7} = \frac{1 \times 120}{7 \times 120} = \frac{120}{840} \]

Now we have the following values:

  • Bread: \( \frac{210}{840} \)
  • Cookies: \( \frac{280}{840} \)
  • Cake: \( \frac{168}{840} \)
  • Pie: \( \frac{120}{840} \)

Comparing these values:

  • Bread: \( 210 \)
  • Cookies: \( 280 \)
  • Cake: \( 168 \)
  • Pie: \( 120 \)

The recipe that uses the most oil is Cookies.