Study on the fly›ACT›Mathematics›Fractions, decimals, and operations

Fractions, decimals, and operations — ACT practice questions

• Mathematics
• 45 questions on the paper
• 51 practice questions in the app
• Free

Practice 51 Fractions, decimals, and operations questions in the app

What this topic is

Fractions, decimals, and operations on the ACT Mathematics test covers converting between fractions and decimals, comparing their values, and adding, subtracting, multiplying, and dividing them in short word problems and in number-only items.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

An online poll received responses from 45 of the 1,440 invited participants. What fraction of the invited participants responded?

A$\dfrac{1}{48}$✗ Not this oneB$\dfrac{1}{32}$✓ CorrectC$\dfrac{1}{24}$✗ Not this oneD$\dfrac{3}{32}$✗ Not this one

Show answer

Answer: B — $\dfrac{1}{32}$

$\dfrac{45}{1{,}440}=\dfrac{1}{32}$.

Question 2Easier

Leona plans a $5\dfrac16$-mile route and completes $\dfrac23$ mile before breakfast. After completing another $\dfrac34$ mile later, how many miles of the planned route remain?

A$\dfrac{25}{12}$✗ Not this oneB$\dfrac{19}{6}$✗ Not this oneC$\dfrac{15}{4}$✓ CorrectD$\dfrac{17}{4}$✗ Not this one

Show answer

Answer: C — $\dfrac{15}{4}$

The completed distance is $\dfrac23+\dfrac34=\dfrac{17}{12}$ mile. Subtracting from $5\dfrac16=\dfrac{62}{12}$ leaves $\dfrac{45}{12}=\dfrac{15}{4}$ miles.

Question 3Easier

Which of the following lists the values $\dfrac{3}{5}$, 0.58, 0.605, and $\dfrac{7}{12}$ in order from least to greatest?

A$0.58,\ \dfrac7{12},\ \dfrac35,\ 0.605$✓ CorrectB$\dfrac7{12},\ 0.58,\ \dfrac35,\ 0.605$✗ Not this oneC$0.58,\ \dfrac35,\ \dfrac7{12},\ 0.605$✗ Not this oneD$0.605,\ \dfrac35,\ \dfrac7{12},\ 0.58$✗ Not this one

Show answer

Answer: A — $0.58,\ \dfrac7{12},\ \dfrac35,\ 0.605$

The fractions are $\dfrac7{12}\approx0.5833$ and $\dfrac35=0.6$. Thus, the correct order is $0.58<\dfrac7{12}<\dfrac35<0.605$.

More ACT topics

Everything on the ACT