# Fractions and Decimals Practice This worksheet reviews how place value works with decimal numbers and how fractions and decimals can represent the same amount ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027), [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051)). You will also practise adding and subtracting decimals and comparing fractions and decimals ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033)). ## Exercises **1. Place value match-up** Draw a line to match each digit's place value in the number below. Number: **45.67** | Digit | Place value | |---|---| | 4 | A) hundredths | | 5 | B) tenths | | 6 | C) tens | | 7 | D) ones | Write your matches here: 4 = ______ 5 = ______ 6 = ______ 7 = ______ **2. Add and subtract decimals** Solve each problem. Show your work in the space provided. a) 12.45 + 3.7 = ______ b) 8.60 − 2.35 = ______ c) A juice box costs $1.25 and a granola bar costs $0.85. How much do both cost together? ______ d) Estimate first, then solve: 9.9 − 4.2. Estimate: ______ Exact answer: ______ **3. Equivalent fractions** Fill in the missing numerator or denominator to make each pair of fractions equivalent. a) 1/3 = ______ / 9 b) 2/5 = 4 / ______ c) 3/4 = 9 / ______ d) ______ / 10 = 3/5 **4. Simplify to lowest terms** Simplify each fraction by dividing the numerator and denominator by their greatest common factor. a) 6/8 = ______ b) 10/15 = ______ c) 4/12 = ______ d) 9/12 = ______ **5. Fractions and decimals, same number, two names** Write each fraction as a decimal, or each decimal as a fraction. The first one is done for you. a) 3/10 = 0.3 b) 7/10 = ______ c) 0.45 = ______ / 100 d) 25/100 = ______ **6. Compare and order** Circle the correct symbol (<, >, or =) for each pair. Then put all four numbers in order from smallest to largest on the line below. a) 0.6 ______ 0.60 b) 3/4 ______ 0.7 c) 0.25 ______ 1/5 d) Order these four numbers from smallest to largest: 0.5, 3/10, 0.75, 1/4 Order: ______, ______, ______, ______ ## Answer key 1. 4 = C (tens), 5 = D (ones), 6 = B (tenths), 7 = A (hundredths) 2. a) 16.15 b) 6.25 c) $2.10 d) Estimate: about 5 or 6; Exact answer: 5.7 3. a) 3/9 b) 4/10 c) 9/12 d) 6/10 4. a) 3/4 b) 2/3 c) 1/3 d) 3/4 5. a) 0.3 (given) b) 0.7 c) 45/100 d) 0.25 6. a) = b) > c) > d) 1/4, 3/10, 0.5, 0.75 --- *AILI homework sheet · language en · model claude-sonnet-5 · generated 2026-09-17 · id ac3078e3-64aa-4b00-8f74-50afd565e654* ### Sources - node:n1: Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30025) - node:n2: How can place value facilitate interpretation of number? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30026) - node:n3: Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027) - node:n4: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029) - node:n5: How can understanding of addition and subtraction be extended to decimal numbers? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30032) - node:n6: Students add and subtract within 10 000, including decimal numbers to hundredths. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033) - node:n7: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30035) - node:n8: How can fractions be characterized in different ways? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30050) - node:n9: Students apply equivalence to the interpretation of fractions. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051) - node:n10: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30053)