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Decimals and Fractions Practice

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Decimals and Fractions Practice

Decimals and Fractions Practice

Mathematical symbols and fractions illustration

📊 Part 1: Decimal Addition and Subtraction

1. A character in your novel walks 2.345 km on Monday and 3.786 km on Tuesday. How much further did they walk in total?

First, estimate your answer: ____________

Final answer: ____________ km

2. Calculate the following decimal problems. Show your working:

a) 5.672 + 3.458 = ____________

b) 8.934 - 2.567 = ____________

c) 12.045 + 7.389 - 4.276 = ____________

3. Round these decimals to check if your answers above are reasonable:

5.672 rounds to _____, 3.458 rounds to _____, so 5.672 + 3.458 should be approximately _____

🍰 Part 2: Fraction Addition and Subtraction

4. A recipe from your novel calls for 3/8 cup of sugar and 1/6 cup more flour than sugar. How much flour is needed in total?

Step 1 - Find common denominator:

Step 2 - Add the fractions:

Final answer: ____________ cups of flour

5. Solve these fraction problems. Show all working by finding equivalent fractions:

a) 1/4 + 1/3 = ____________

b) 5/6 - 1/4 = ____________

c) 2/5 + 1/8 = ____________

6. Circle the correct equivalent fractions:

Which fractions are equivalent to 1/2?

2/4

3/5

4/8

5/10

6/11

📚 Part 3: Novel-Connected Word Problems

7. Create your own word problem connecting decimals or fractions to your novel. Then solve it:

My problem:

My solution:

8. A character needs to travel 15.75 km but has already travelled 8.346 km. How much further do they need to go?

Estimate first: ____________

Exact answer: ____________ km

9. In the story, 3/4 of a treasure is found on Monday, and 1/8 more is found on Tuesday. What fraction of the treasure has been found in total?

Answer: ____________ of the treasure

🤔 Part 4: Mathematical Vocabulary and Reflection

10. Match the mathematical terms with their meanings:
1. Numerator
2. Denominator
3. Equivalent fractions
4. Common denominator
A. The bottom number in a fraction
B. Fractions that represent the same amount
C. The top number in a fraction
D. Same bottom number for adding fractions
11. Fill in the blanks with appropriate mathematical vocabulary:

When adding fractions with different ____________, we must first find ____________ fractions. The ____________ tells us how many parts we have, while the ____________ tells us how many parts make a whole.

12. Reflection: How does understanding language in word problems help you solve maths problems? Write 2-3 sentences:
13. What strategies were most helpful for you when adding and subtracting decimals and fractions today?

Using place value charts for decimals

Finding common denominators for fractions

Estimating answers first

Drawing fraction models

Connecting maths to story contexts

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