Module · Arithmetic & Number Properties
Chapter 5: Fractions & Decimals
Arithmetic
5 topics
What this chapter covers
The 5 topics below make up Fractions & Decimals on the GRE. Click any topic to open its notes, examples and practice test.
1Equivalent Fractions & Simplifying
2Comparing Fractions
3Operations with Fractions
4Decimals & Place Value
5Fraction–Decimal–Percent Conversions
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Fraction operations
| Add / subtract | common denominator, then add numerators |
|---|---|
| Multiply | (a/b)(c/d) = ac/bd |
| Divide | (a/b) ÷ (c/d) = (a/b)(d/c) |
| Simplify | divide top and bottom by their GCD |
Conversions & benchmarks
| Fraction → decimal | divide numerator by denominator |
|---|---|
| Decimal → percent | multiply by 100 (shift 2 places right) |
| 1/8 = 0.125 | = 12.5% |
| 1/3 ≈ 0.333 | ≈ 33.3% |
| Cross-multiply to compare | a/b vs c/d ⇒ compare ad vs bc |
GRE reference
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