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Finding Fractional Wholes

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Finding Fractional Wholes worksheet preview

Finding Fractional Wholes

Fraction bars and mathematical symbols

🧮 Part 1: Finding the Whole

Remember: To find the whole when given a fractional part, divide by the fraction (or multiply by its reciprocal).

1. If 3/4 of a number is 60, what is the whole number?

Answer: ____________

2. Sarah ate 2/5 of a chocolate bar, which was 8 pieces. How many pieces were in the whole chocolate bar?

Answer: ____________ pieces

3. A school has 5/6 of its students present today, which equals 450 students. What is the total number of students enrolled?

Answer: ____________ students

4. If 7/4 of a quantity is 84, find the whole quantity.

Answer: ____________

📊 Part 2: Visual Problem Solving

5. Draw a fraction bar model to represent this problem: "3/5 of a group is 15 people. How many people are in the whole group?"

The whole group has ____________ people.

6. A recipe calls for 1.5 cups of flour, which represents 3/4 of the total flour needed for the week. How much flour is needed for the whole week?

Answer: ____________ cups

7. Multiple choice: If 5/3 of a number is 75, the whole number is:

45

125

225

135

🚀 Part 3: Challenge Problems

8. A sports team spent $240 on uniforms, which was 4/5 of their total budget. They then spent 1/3 of their remaining budget on equipment. How much did they spend on equipment?

Equipment cost: $____________

9. Create your own problem: Write a word problem where 2/3 of something equals 48, then solve it.
10. Extension: If x represents the whole amount and 7/5 of x equals 105, write an equation and solve for x.

Equation: ________________________

x = ____________

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