## Multiplying Fractions: 1 2/3 Cups x 4

This article explores how to multiply a mixed number, 1 2/3 cups, by a whole number, 4.

### Understanding the Problem

We want to find out how many cups are in four times the quantity of 1 2/3 cups. To do this, we need to perform multiplication with fractions.

### Converting to Improper Fractions

The first step is to convert the mixed number 1 2/3 into an improper fraction.

**Multiply the denominator by the whole number:**3 x 1 = 3**Add the numerator:**3 + 2 = 5**Keep the same denominator:**5/3

Now, our problem becomes: **(5/3) x 4**

### Performing the Multiplication

To multiply a fraction by a whole number, we simply multiply the numerator by the whole number.

**(5/3) x 4 = (5 x 4) / 3****= 20/3**

### Converting Back to a Mixed Number

The final step is to convert the improper fraction back into a mixed number.

**Divide the numerator by the denominator:**20 ÷ 3 = 6 with a remainder of 2**The quotient becomes the whole number:**6**The remainder becomes the numerator:**2**Keep the same denominator:**3

Therefore, **1 2/3 cups x 4 = 6 2/3 cups**.

### Practical Application

This calculation is useful in various scenarios involving recipes, measuring ingredients, or even understanding quantities in other contexts. For example, if a recipe requires 1 2/3 cups of flour and you want to make four times the recipe, you would need 6 2/3 cups of flour.