## Multiplying Fractions: 1 2/3 x 4/5

Let's break down how to multiply the mixed number **1 2/3** by the fraction **4/5**.

### Step 1: Convert the mixed number to an improper fraction.

**Multiply**the whole number (1) by the denominator of the fraction (3): 1 x 3 = 3**Add**the numerator of the fraction (2): 3 + 2 = 5**Keep**the same denominator (3).- This gives us the improper fraction
**5/3**.

### Step 2: Multiply the fractions.

**Multiply**the numerators: 5 x 4 = 20**Multiply**the denominators: 3 x 5 = 15- This gives us
**20/15**.

### Step 3: Simplify the answer (optional).

**Find the greatest common factor (GCD)**of the numerator and denominator: The GCD of 20 and 15 is 5.**Divide**both the numerator and denominator by the GCD: 20 ÷ 5 = 4 and 15 ÷ 5 = 3.- This simplifies our answer to
**4/3**.

### Step 4: Convert back to a mixed number (optional).

**Divide**the numerator (4) by the denominator (3): 4 ÷ 3 = 1 with a remainder of 1.- The
**whole number**of our mixed number is 1. - The
**numerator**of our fraction is the remainder (1). - The
**denominator**stays the same (3). - This gives us the mixed number
**1 1/3**.

### Conclusion

Therefore, 1 2/3 x 4/5 is equal to **20/15** or **4/3**, which can also be expressed as the mixed number **1 1/3**.