## Multiplying Mixed Numbers: 1 3/4 cups times 4

This article will guide you through the process of multiplying a mixed number, 1 3/4, by 4.

### Understanding Mixed Numbers

First, let's understand what a mixed number is. A mixed number combines a whole number and a fraction, like 1 3/4. It represents 1 whole and 3/4 of another.

### Converting Mixed Numbers to Fractions

To multiply a mixed number, it's easiest to convert it to an improper fraction. Here's how:

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

Now, 1 3/4 is equal to 7/4.

### Multiplication of Fractions

Multiplying fractions is straightforward:

**Multiply the numerators:**7 x 4 = 28**Multiply the denominators:**4 x 1 = 4**Simplify the resulting fraction:**28/4 = 7

### Converting Back to Mixed Number (Optional)

The answer, 7, is a whole number. However, if you'd like to express it as a mixed number:

**Divide the numerator (28) by the denominator (4):**28 ÷ 4 = 7

Since the division results in a whole number, there is no remaining fraction.

### Conclusion

Therefore, 1 3/4 cups times 4 equals **7 cups**.