Question 1Easier
An online poll received responses from 45 of the 1,440 invited participants. What fraction of the invited participants responded?
Show answer
Answer: B —
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Study on the flyACTMathematicsFractions, decimals, and operations
Mathematics
Fractions, decimals, and operations — ACT practice questions
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What this topic is
Comparing and combining numbers in different forms is the heart of Fractions, decimals, and operations.
Ordering a fraction alongside several decimals goes fastest when everything is converted to decimals, keeping enough places to break near-ties. Subtracting fractions requires a common denominator, so one half minus one third equals one sixth; subtracting the tops and bottoms separately gives nonsense.
Reducing a fraction to lowest terms means dividing top and bottom by their greatest common factor. ACT Mathematics wraps these skills in word problems about distances, recipes and survey responses, and answer choices commonly include an unreduced fraction or a value with a misplaced decimal point.
Sample questions
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Question 2Easier
Leona plans a -mile route and completes mile before breakfast. After completing another mile later, how many miles of the planned route remain?
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Answer: C —
The completed distance is mile. Subtracting from leaves miles.
Question 3Easier
Which of the following lists the values , 0.58, 0.605, and in order from least to greatest?
Show answer
Answer: A —
The fractions are and . Thus, the correct order is .
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Practice 54 Fractions, decimals, and operations questions in the app
More ACT topics
Mathematics
- Real number system and number properties
- Integer and rational exponents
- Radicals and roots
- Complex numbers
- Vectors and matrices
- Percents and percent change
- Ratios, rates, and proportional relationships
- Linear equations and expressions in one variable
- Inequalities (linear and compound)
- Systems of equations
- Polynomial expressions and factoring
- Quadratic equations
- Radical and rational equations
- Exponential relationships
- Function notation and evaluating functions
- Linear functions and graphs
- Quadratic and polynomial functions
- Radical and rational functions
- Piecewise functions
- Exponential and logarithmic functions
- Key features and transformations of graphs
- Lines, angles, and polygons
- Triangles — congruence, similarity, Pythagorean theorem
- Circles — arcs, sectors, angles, equations
- Surface area and volume of solids
- Coordinate geometry — distance, midpoint, slope, line equations
- Conic sections
- Right-triangle trigonometry and trig functions
- Measures of center and spread
- Data collection methods and study design
- Bivariate data and relationships (scatterplots, correlation)
- Probability and sample spaces
- Counting, combinations, and permutations
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