Year 5 Math Worksheet: Fraction to Decimal Practice for 13-Year-Olds

Instructions

1. Read the Concept: To convert a fraction to a decimal, divide the top number (numerator) by the bottom number (denominator).
2. Use Benchmarks: Remember common equivalents like 1/2 = 0.5 and 1/4 = 0.25 to help you estimate.
3. Show Your Work: For harder fractions, use a scrap piece of paper for long division if needed.
4. Complete the Sections: Move from the basic conversions to the real-world "Food Truck Challenge."
5. Check Your Accuracy: Use the Answer Key at the bottom once you have finished all tasks.

Section 1: The Quick-Convert Table

Convert the following fractions into decimals. Use the power of 10 method (making the denominator 10, 100, or 1000) where possible.

Section 2: Division Mastery

Sometimes you can't easily turn the denominator into 10 or 100. In these cases, divide the numerator by the denominator (e.g., for 3/8, calculate 3 ÷ 8).

1. 5/8 = __

2. 1/3 (Round to two decimal places) = __

3. 7/16 = __

4. 2/9 (What do you notice about this decimal?) = __

Section 3: The Food Truck Challenge

You are running a "Fusion Taco" food truck. To keep your inventory accurate, you need to convert your ingredient portions from fractions to decimals for the digital scale.

Scenario A: A customer asks for 3/5 of a pound of steak. What should the digital scale read? Calculation: Answer: __

Scenario B: You have used 7/8 of a gallon of hot sauce. Express the used amount as a decimal. Calculation: Answer: __

Scenario C: A recipe calls for 1 and 1/4 cups of lime juice. Write this as a decimal. Calculation: Answer: __

Scenario D: Your profit margin on a $10 burrito is 3/20. What is the decimal value of your profit margin? Calculation: Answer: __

Section 4: Deep Dive Reflection

Explain in your own words: Why is it sometimes easier to work with decimals (like 0.75) instead of fractions (like 3/4) when you are shopping or using a calculator?

Section 5: Ultimate Challenge (Optional)

The Mystery Fraction: I am a fraction. My denominator is 4 more than my numerator. When converted to a decimal, I am 0.8. What fraction am I?

Hint: Try setting up an equation or testing fractions like 4/8, 8/12, etc.

Answer: __

Answer Key

Section 1:

• 1/5 = 2/10 = 0.2
• 3/4 = 75/100 = 0.75
• 7/20 = 35/100 = 0.35
• 9/25 = 36/100 = 0.36
• 13/50 = 26/100 = 0.26
• 11/20 = 55/100 = 0.55

Section 2:

1. 0.625
2. 0.33 (it is a recurring decimal)
3. 0.4375
4. 0.222... (it repeats forever)

Section 3:

• Scenario A: 0.6
• Scenario B: 0.875
• Scenario C: 1.25
• Scenario D: 0.15

Section 4: (Answers vary) Decimals are often easier for comparing prices, adding quickly on a calculator, or reading digital measurements.

Section 5: 16/20 (Since 16 ÷ 20 = 0.8 and 20 is 4 more than 16)