## Multiplying Fractions: 1 2/7 x 2/3

Let's break down how to multiply the mixed number 1 2/7 by the fraction 2/3 and simplify the answer.

### Step 1: Convert the Mixed Number to an Improper Fraction

**Multiply the whole number by the denominator:**1 x 7 = 7**Add the numerator:**7 + 2 = 9**Keep the same denominator:**9/7

Now, our problem looks like this: 9/7 x 2/3

### Step 2: Multiply the Numerators and Denominators

**Numerators:**9 x 2 = 18**Denominators:**7 x 3 = 21

This gives us the fraction 18/21.

### Step 3: Simplify the Fraction

**Find the greatest common factor (GCD) of 18 and 21:**The GCD is 3.**Divide both numerator and denominator by the GCD:**18 ÷ 3 = 6 and 21 ÷ 3 = 7

Therefore, 1 2/7 x 2/3 simplified to its simplest form is **6/7**.