a mufffin recipe calls for 1 3/4 cups of sugar. How many cups of sugar are needed if only 1/4 of the recipe is being made?

(1/4) * (7/4) = ?

To determine how many cups of sugar are needed if only 1/4 of the recipe is being made, you can follow these steps:

Step 1: Calculate 1/4 of 1 3/4 cups:
- Multiply the numerator (1) by 1 (since it is already a fraction): 1 * 1 = 1.
- Multiply the denominator (4) by 1: 4 * 1 = 4.
- So, 1/4 of 1 3/4 cups is 1/4 * 1 3/4 = 1 3/16.

Step 2: Convert 1 3/16 to an improper fraction:
- Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4.
- Add the numerator (3) to the result: 4 + 3 = 7.
- The improper fraction is 7/4.

Step 3: Convert the improper fraction to a mixed number:
- Divide the numerator (7) by the denominator (4).
- The quotient is the whole number of the mixed number: 7 ÷ 4 = 1 with a remainder of 3.
- The remainder (3) becomes the numerator of the fraction: 3/4.
- The mixed number is 1 3/4.

Therefore, if only 1/4 of the recipe is being made, you would need 1 3/4 cups of sugar.