# Fractions and Decimals Practice

This worksheet gives you practice converting fractions to decimals, comparing decimal numbers, and adding and subtracting decimals, matching what Grade 4 students learn about place value and fraction equivalence ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027), [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059)). You will also solve a money problem, since dollars and cents are written with decimal notation ([Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030)).

## Exercises

**1. Write the equivalent decimal number for each fraction.**

| Fraction | Decimal |
|---|---|
| 3/10 | ______ |
| 45/100 | ______ |
| 7/10 | ______ |
| 9/100 | ______ |

([Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057))

**2. Write the value of the underlined digit.**

a) 4.**7**2 → ______

b) 1**5**.36 → ______

c) 0.**0**8 → ______

d) 6.5**9** → ______

([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029))

**3. Compare each pair of decimals. Write <, >, or = in the blank.**

a) 0.6 ______ 0.60

b) 0.35 ______ 0.53

c) 2.4 ______ 2.40

d) 0.7 ______ 0.68

([Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031))

**4. Add or subtract. Estimate first, then solve.**

a) 3.45 + 2.30 =
Estimate: ______
Exact answer: ______

b) 8.60 − 4.25 =
Estimate: ______
Exact answer: ______

c) 5.75 + 1.09 =
Estimate: ______
Exact answer: ______

([Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30035), [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30037))

**5. Multiple choice. Circle the correct letter.**

Which fraction is equivalent to 0.25?

A) 1/10
B) 1/4
C) 25/10
D) 2/5

([Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057))

**6. Money word problem.**

Simone has 6 dollars and 45 cents saved. She buys a snack for 2 dollars and 80 cents.

a) Write both amounts in decimal notation.

Savings: ______

Snack: ______

b) How much money does Simone have left?

______

c) Use estimation to check your answer. Is your answer reasonable? Explain in one sentence.

______________________________________________

([Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030), [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30037))

## Answer key

1. 3/10 = 0.3, 45/100 = 0.45, 7/10 = 0.7, 9/100 = 0.09
2. a) 7 tenths (0.7) b) 5 ones (5) c) 0 tenths (0) d) 9 hundredths (0.09)
3. a) = b) < c) = d) >
4. a) Estimate 5, exact 5.75 b) Estimate 4.3, exact 4.35 c) Estimate 7, exact 6.84
5. B
6. a) $6.45 and $2.80 b) 3.65 dollars c) Answers will vary; 6.45 − 2.80 rounds close to 6.50 − 3.00 = 3.50, so 3.65 is reasonable.

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*AILI homework sheet · language en · model claude-sonnet-5 · generated 2026-09-17 · id e0d34ceb-4878-4c3f-8332-03dca72acf2f*

### Sources

- node:n1: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027)
- node:n2: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can understanding of addition and subtraction be extended to decimal numbers? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033)
- node:n3: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029)
- node:n4: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031)
- node:n5: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030)
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- node:n9: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can fractions be characterized in different ways? › Students apply equivalence to the interpretation of fractions. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059)
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- node:n16: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029)