## Multiplying Mixed Numbers: 1 3/4 Cups x 2

Let's explore how to multiply a mixed number, like 1 3/4 cups, by 2.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our case, 1 3/4 cups represents one whole cup plus three-quarters of a cup.

### Converting to an Improper Fraction

To multiply easily, it's best to convert the mixed number into an improper fraction:

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

Now, 1 3/4 cups is equivalent to 7/4 cups.

### Multiplying Fractions

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

**(7/4) x 2 = (7 x 2) / (4 x 1) = 14/4**

### Simplifying the Result

The fraction 14/4 can be simplified. 14 and 4 both share the common factor of 2. Dividing both the numerator and denominator by 2, we get:

**14/4 = (14 ÷ 2) / (4 ÷ 2) = 7/2**

### Converting Back to a Mixed Number

The improper fraction 7/2 can be converted back to a mixed number:

**Divide the numerator (7) by the denominator (2):**7 ÷ 2 = 3 with a remainder of 1.**The quotient (3) becomes the whole number part:**3**The remainder (1) becomes the numerator of the fraction:**1**Keep the same denominator (2):**3 1/2

### Answer

Therefore, 1 3/4 cups multiplied by 2 equals **3 1/2 cups**.