help i need help with a recipe calls for 2 3/4 cups of sugar. how many fourths is that
2 3/4 = 11/4
thx
To convert a mixed fraction like 2 3/4 into an improper fraction, you can follow these steps:
1. Multiply the whole number (2) by the denominator of the fraction (4): 2 x 4 = 8.
2. Add the numerator (3) to the result from step 1: 8 + 3 = 11.
3. Place the result from step 2 over the original denominator: 11/4.
Therefore, 2 3/4 can be written as 11/4.
To determine how many fourths are in 2 3/4 cups of sugar, we need to convert the whole number and the fraction into a common denominator.
The whole number, 2, can be written as 2/1 because any whole number can be expressed as a fraction by placing it over 1.
Now, let's convert the fraction 3/4 into a fraction with a denominator of 4. To do this, we multiply the numerator (3) by the same number (4) and the denominator by the same number (4).
3/4 * 4/4 = 12/16.
So, when we express 2 3/4 cups of sugar as a fraction with the common denominator of 4, it becomes:
2 3/4 = 2/1 + 12/16 = 8/4 + 12/16 = (8 * 4 + 12)/16 = 32/16 + 12/16 = 44/16.
Therefore, 2 3/4 cups of sugar is equal to 44/16 (or 44 fourths).