## Calculating 1 2/3 times 3 4/5

This article will guide you through the steps of multiplying mixed numbers.

### Understanding Mixed Numbers

Mixed numbers combine whole numbers and fractions. For example, 1 2/3 represents one whole and two-thirds. To multiply mixed numbers, we first need to convert them into improper fractions.

### Converting Mixed Numbers to Improper Fractions

**1. Multiply the whole number by the denominator of the fraction.** In the case of 1 2/3, we multiply 1 by 3 to get 3.

**2. Add the numerator of the fraction.** This gives us 3 + 2 = 5.

**3. Keep the same denominator.** So, 1 2/3 becomes 5/3.

Similarly, 3 4/5 can be converted to 19/5.

### Multiplying Improper Fractions

Now that we have our improper fractions, we can multiply them:

(5/3) * (19/5)

**1. Multiply the numerators:** 5 * 19 = 95

**2. Multiply the denominators:** 3 * 5 = 15

**3. Simplify the resulting fraction:** 95/15 can be simplified to 19/3

### Converting Back to a Mixed Number

Finally, we can convert 19/3 back to a mixed number:

**1. Divide the numerator by the denominator:** 19 ÷ 3 = 6 with a remainder of 1.

**2. The quotient becomes the whole number:** 6

**3. The remainder becomes the numerator:** 1

**4. Keep the same denominator:** 3

Therefore, 1 2/3 times 3 4/5 equals **6 1/3**.