## Multiplying Mixed Numbers and Fractions

This article will guide you through the steps of multiplying a mixed number, 1 1/3, by a fraction, 7/10.

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

**Understanding Mixed Numbers:**A mixed number combines a whole number and a fraction. In our case, 1 1/3 represents one whole and one-third.**Conversion:**To change it to an improper fraction, multiply the whole number (1) by the denominator of the fraction (3) and add the numerator (1). Keep the same denominator. This gives us (1 * 3 + 1)/3 = 4/3.

### Step 2: Multiply the Fractions

**Multiplication:**Now we have the problem: (4/3) * (7/10).**Multiplying Numerators and Denominators:**Multiply the numerators (4 * 7) and the denominators (3 * 10). This gives us 28/30.

### Step 3: Simplify the Result (If Possible)

**Finding the Greatest Common Factor (GCD):**The greatest common factor of 28 and 30 is 2.**Simplifying:**Divide both the numerator and denominator by the GCD: 28/2 = 14 and 30/2 = 15.

### The Final Answer

Therefore, 1 1/3 * 7/10 is equivalent to **14/15**.