list:
cake1: 2 1/3 c. of flower.
cake 2: 2 3/4c. of flower
cake 3: 2 2/3
Shelby baked three different cakes. The amount of flour she used in each cake is listed above. How many cups of flour did Shelby use to bake the three cakes?
To find the total amount of flour used in the three cakes, we need to add the amounts listed above.
2 1/3 + 2 3/4 + 2 2/3
To add these mixed numbers, we first need to find a common denominator for the fractions.
The denominators are 3, 4, and 3. The common denominator that can accommodate all these fractions is 12.
So, we need to rewrite each fraction with a denominator of 12.
For 2 1/3:
2 * 3 = 6
6 + 1 = 7
7/3 = 28/12
For 2 3/4:
2 * 4 = 8
8 + 3 = 11
11/4 = 33/12
For 2 2/3:
2 * 3 = 6
6 + 2 = 8
8/3 = 32/12
Now, we can add these fractions:
28/12 + 33/12 + 32/12 = (28 + 33 + 32) / 12 = 93 / 12
To simplify this fraction, we find the greatest common divisor (GCD) of 93 and 12, which is 3.
93 / 3 = 31
12 / 3 = 4
Final answer: Shelby used a total of 31 cups of flour to bake the three cakes.