## Multiplying Fractions: 1 3/4 Cups x 3

This article will walk you through how to multiply a mixed number (1 3/4) by a whole number (3). This is a common calculation that comes up when scaling recipes or figuring out the total amount of ingredients needed.

### Converting to an Improper Fraction

Before multiplying, it's easier to work with improper fractions. Here's how to convert 1 3/4 to an improper fraction:

**Multiply the whole number by the denominator:**1 x 4 = 4**Add the numerator:**4 + 3 = 7**Keep the same denominator:**7/4

Now we have the problem: **(7/4) x 3**

### Multiplying Fractions

**Multiply the numerators:**7 x 3 = 21**Multiply the denominators:**4 x 1 = 4

This gives us the answer: **21/4**

### Converting Back to a Mixed Number

While 21/4 is a correct answer, it's often more practical to express it as a mixed number:

**Divide the numerator by the denominator:**21 ÷ 4 = 5 with a remainder of 1**The quotient becomes the whole number:**5**The remainder becomes the numerator:**1**Keep the same denominator:**1/4

Therefore, 1 3/4 cups x 3 equals **5 1/4 cups**.