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

This article will guide you through multiplying a mixed number by a whole number, specifically: 1 3/4 cups x 3.

### Converting Mixed Numbers

Before multiplying, it's essential to convert the mixed number (1 3/4) into 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: 7/4 x 3

### Multiplying Fractions

To multiply fractions, we simply multiply the numerators and the denominators:

**Numerators:**7 x 3 = 21**Denominators:**4 x 1 = 4

This gives us 21/4.

### Converting Back to Mixed Number

Finally, let's convert the improper fraction back into 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:**4

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