Word Problems with Fractions
Welcome to the exciting world of fraction word problems! In this lesson, you'll learn how to solve real-life problems using fractions. We'll discover two main types of problems and master the rules for solving each one.
🎯 Two Main Types of Fraction Problems
Type 1: Finding a Part
When you KNOW the whole and need to find a part.
Example question:
"Find 3/4 of 24"
"Find 3/4 of 24"
You know the total (24) and want to find a portion of it.
Type 2: Finding the Whole
When you KNOW a part and need to find the whole.
Example question:
"3/4 of a number is 18. Find the number."
"3/4 of a number is 18. Find the number."
You know a portion (18) and want to find the total.
⚠️ Important: These two types are inverse operations (opposites). Understanding both is essential for solving fraction word problems!
📐 Type 1: Finding a Part of a Whole
📜 THE RULE (Type 1)
To find a fractional part of a whole number:
Part = Whole ÷ Denominator × Numerator
OR equivalently:
Part = Whole × Numerator ÷ Denominator
🤔 Why Does This Rule Work?
- The denominator tells us how many equal parts the whole is divided into.
- Dividing by the denominator gives us the size of one part.
- The numerator tells us how many parts we need to take.
- Multiplying by the numerator gives us the required number of parts.
Interactive visualization — available in the full lesson
📝 Step-by-Step Method (Type 1)
Step 1 Identify the whole number
Step 2 Identify the fraction (a/b)
Step 3 Divide whole by denominator (b)
Step 4 Multiply result by numerator (a)
Step 5 Write answer with units