How to Multiply Identical Fractions: A Simple Step-by-Step Guide

1. What We're Solving:

We need to multiply two identical fractions: 5/3 × 5/3. This is a great example of fraction multiplication!

2. The Approach:

When multiplying fractions, we use a simple rule: multiply the numerators (top numbers) together, then multiply the denominators (bottom numbers) together. Think of it as "top times top, bottom times bottom." This works because we're finding a fraction OF a fraction!

3. Step-by-Step Solution:

Step 1: Set up the multiplication 5/3 × 5/3

Step 2: Multiply the numerators (top numbers) 5 × 5 = 25 This becomes our new numerator.

Step 3: Multiply the denominators (bottom numbers) 3 × 3 = 9 This becomes our new denominator.

Step 4: Write the result 25/9

Step 5: Check if we can simplify To simplify, we need to find common factors of 25 and 9.

• 25 = 5 × 5
• 9 = 3 × 3

Since 25 and 9 share no common factors, 25/9 is already in its simplest form.

4. The Answer:

25/9 (This can also be written as 2 7/9 as a mixed number, since 25 ÷ 9 = 2 remainder 7)

5. Memory Tip:

Remember "straight across" - when multiplying fractions, just go straight across: numerator × numerator, denominator × denominator. No need to find common denominators like you do with addition and subtraction!

Great job working through fraction multiplication! Notice how multiplying fractions actually gives us a result that's often different from what we might expect - this is the beauty of working with parts of wholes! 🌟