# Fractions and Decimals Quiz

*Time: 20 min. 6 questions.*

## Instructions

Answer all six questions in the space provided. Show your work for the numeric question so your teacher can see how you found your answer. You may use a number line or draw a picture to help with any question about fractions or decimals.

## Questions

**1.** In the number 5.47, what is the value of the digit 4?

A) 4 ones
B) 4 tenths
C) 4 hundredths
D) 4 tens

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

**2.** Sam says that 3/4 and 6/8 are equivalent fractions. Explain how you know he is right or wrong. Use the idea of multiplying the numerator and denominator by the same number in your answer.

([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051))

**3.** True or false: A decimal number that terminates, such as 0.6, can always be written as a fraction with a denominator of 10, 100, or another power of 10.

([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051))

**4.** Kayla buys a sandwich for 4.65 dollars and a juice box for 1.80 dollars. How much does she spend in total? Give your answer as a number of dollars.

([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033))

**5.** Which fraction below is already written in simplest form?

A) 4/8
B) 6/9
C) 5/7
D) 10/15

([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051))

**6.** Write 7/10 as a decimal number, and write 0.25 as a fraction. Show how the denominator relates to the place value of the last digit.

([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051))

## Curriculum coverage

| Question | Outcome alias |
|---|---|
| 1 | [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027) |
| 2 | [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051) |
| 3 | [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051) |
| 4 | [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033) |
| 5 | [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051) |
| 6 | [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051) |

## Answer key

**1.** B) 4 tenths. In 5.47, the digit 4 sits one place to the right of the decimal point, in the tenths place ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027)).

**2.** Sam is right. Multiplying both the numerator and denominator of 3/4 by 2 gives 6/8, so the two fractions are equivalent and sit at the same point on the number line ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051)).

**3.** True. A terminating decimal such as 0.6 can be written as 6/10, because each decimal place corresponds to a fraction with a denominator of 10, 100, and so on ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051)).

**4.** 6.45 dollars. Adding 4.65 and 1.80 using the standard algorithm for decimal addition gives 6.45 dollars ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033)).

**5.** C) 5/7. The numerator and denominator of 5/7 share no common factor other than 1, so the fraction is already in simplest form. The other fractions can each be simplified further ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051)).

**6.** 7/10 = 0.7, because the denominator 10 matches the tenths place. 0.25 = 25/100, because the last digit, 5, is in the hundredths place, so the denominator is 100 ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051)).

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*AILI quiz · language en · model claude-sonnet-5 · generated 2026-09-17 · id 61b71012-e89f-47b9-aa59-1c94a095269c*

### 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)