Dee used 2 1/3 cups of sugar for a cake recipe. If the amount of sugar the container holds is 3 times the amount she used, does the container hold more than, less than, or equal to 3 cups of sugar? Explain.
More than 3 cups of sugar. The container holds 3 times the amount she used. 3 x 2 1/3= 3 x 7/3=7.
Hope this helps -w- <3
To determine whether the container holds more than, less than, or equal to 3 cups of sugar, we need to compare the amount Dee used (2 1/3 cups) to the capacity of the container (3 times the amount used).
First, let's convert the mixed number 2 1/3 cups into an improper fraction:
2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3
So, Dee used 7/3 cups of sugar for the cake recipe.
Now, we can determine the capacity of the container by multiplying the amount used by 3:
7/3 * 3 = 7/3 * 3/1 = (7 * 3) / (3 * 1) = 21/3
Therefore, the container holds 21/3 cups of sugar.
To simplify the fraction, we can divide both the numerator and denominator by 3:
21/3 = (21 ÷ 3) / (3 ÷ 3) = 7/1
So, the container holds 7 cups of sugar.
Now, we can compare the amount Dee used (7/3 cups) with the capacity of the container (7 cups):
7/3 cups < 7 cups
Therefore, the container holds more than 3 cups of sugar, since 7 cups is greater than 3 cups.