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Fractions, Decimals and Percentages Practice

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Fractions, Decimals and Percentages Practice worksheet preview

Fractions, Decimals and Percentages Practice

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Part 1: Match and Represent

WALT: We are learning to read, write and represent tenths and hundredths as fractions, decimals and percentages.

Success criteria: I can match equivalent values, identify tenths and hundredths, and explain my thinking.

Dyslexia-friendly option: Read each question aloud, use a ruler or reading window, and cover questions you are not working on yet.

1. Match each fraction to its equivalent decimal and percentage. Write the correct letter beside each number.
1/2 = ______
3/10 = ______
25/100 = ______
7/10 = ______
A. 0.25 = 25%
B. 0.7 = 70%
C. 0.5 = 50%
D. 0.3 = 30%
2. Complete the table.

6/10 = ______ as a decimal = ______%

42/100 = ______ as a decimal = ______%

9/100 = ______ as a decimal = ______%

3. A strip is divided into 10 equal parts. Seven parts are coloured. Write the amount coloured as a fraction, decimal and percentage.

Fraction: ______    Decimal: ______    Percentage: ______

4. Circle the two values that are equivalent to 0.4.

4/10

40%

4/100

0.04

Part 2: Compare, Order and Solve

WALT: We are learning to compare and order fractions, decimals and percentages and use them in everyday problems.

Success criteria: I can use <, > or =, order values carefully, and show working for a word problem.

Helpful strategy: Convert values to the same form before comparing them. Draw a number line if it helps.

5. Write <, > or = in each box.

0.6 ____ 55%     3/10 ____ 0.30     45/100 ____ 0.5

6. Order these values from smallest to largest.

0.8,   65%,   3/4,   0.7

Answer: __________________________________________________

7. Mia has $20. She spends 25% of it on a book. How much money does she spend?
8. A 1-litre bottle is 0.6 full. What fraction of the bottle is full? What percentage is this?
9. A class survey shows that 18 out of 100 students chose cycling as their favourite activity. Write this as a decimal and a percentage.
10. Extension challenge: Find three different fractions with a denominator of 100 that are between 0.35 and 0.40. Write each fraction as a decimal and percentage.

Differentiation: If you need support, use a place-value chart, counters or a number line. Work with a partner and explain one step at a time. If you are ready for more, create your own word problem using a fraction, decimal and percentage.

Answer Key

1. 1/2 = C, 3/10 = D, 25/100 = A, 7/10 = B

2. 6/10 = 0.6 = 60%; 42/100 = 0.42 = 42%; 9/100 = 0.09 = 9%

3. 7/10, 0.7, 70%

4. 4/10 and 40%

5. 0.6 > 55%; 3/10 = 0.30; 45/100 < 0.5

6. 65%, 0.7, 3/4, 0.8

7. $5

8. 6/10 or 3/5; 60%

9. 0.18; 18%

10. Possible answers include 36/100 = 0.36 = 36%, 37/100 = 0.37 = 37%, and 39/100 = 0.39 = 39%.

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