GED® Fractions: Skills and Practice
A deep Basic Math course focused only on fractions. Students learn what fractions mean, how to simplify, compare, add, subtract, multiply, divide, use mixed numbers, and solve real GED®-style case studies involving recipes, shopping, measurement, schedules, and data.
📚 Course Curriculum
A fraction names part of a whole. The most important word is equal: the whole must be cut into equal-size pieces. In \(\frac{3}{8}\):. The denominator …
Open trial session →Equivalent fractions are different names for the same amount. If a rectangle is half shaded, it can be labeled \(\frac{1}{2}\), \(\frac{2}{4}\), or \(\frac{4}{8}\). The amount …
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To compare fractions, ask: are the pieces the same size? If denominators match, compare numerators:. Five ninths is more pieces than two ninths. If denominators …
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A proper fraction is less than 1, like \(\frac{3}{5}\). An improper fraction is 1 or more, like \(\frac{9}{4}\). A mixed number combines a whole number …
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Addition and subtraction require same-size pieces. This is the one rule that explains almost everything. Same denominator:. The denominator stays 7 because the piece size …
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Mixed-number subtraction can require borrowing, just like whole-number subtraction. Example:. First use a common denominator:. You cannot subtract \(5/6\) from \(2/6\), so borrow 1 whole …
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Multiplication answers "of" questions. One half of one third means:. Multiply straight across:. You can simplify before multiplying:. Cancel 4 with 8 to get 1 …
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Division asks how many groups fit. If you have \(\frac{3}{4}\) cup of rice and each serving uses \(\frac{1}{8}\) cup, then:. Rewrite \(\frac{3}{4}\) as \(\frac{6}{8}\). Six …
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Fractions become real when they measure things. Case study 1 - recipe scaling. A recipe uses \(\frac{2}{3}\) cup of milk for one batch. You need …
Open trial session →A student fully understands fractions when they can explain why the method works, not only get the answer. Use this diagnostic checklist:. Is this a …
Open trial session →Benchmark fractions. Know these key reference points by heart:. \(\frac{1}{2}=0.5\). \(\frac{1}{3}\approx0.33\). \(\frac{2}{3}\approx0.67\). \(\frac{1}{4}=0.25\). \(\frac{3}{4}=0.75\). \(\frac{1}{5}=0.2\). \(\frac{2}{5}=0.4\). \(\frac{4}{5}=0.8\). Use these to estimate answers instantly: \(\frac{7}{8}+\frac{2}{3}\) is …
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Course Syllabus
This self-paced GED® Math course follows a 11-lesson sequence. Work through the modules in order so that each skill supports the next.
Course sequence
Module 1 - Lessons 1-4
- What a Fraction Means: Equal Parts, Numerator, Denominator
- Equivalent Fractions and Simplifying
- Comparing and Ordering Fractions
- Improper Fractions and Mixed Numbers
Module 2 - Lessons 5-8
- Adding and Subtracting Fractions
- Borrowing With Mixed Numbers
- Multiplying Fractions and Scaling
- Dividing Fractions: How Many Groups?
Module 3 - Lessons 9-11
- Fraction Case Studies: Recipes, Shopping, Schedules, and Measurement
- GED® Fraction Strategy: Diagnose, Solve, Check
- Fraction Shortcuts & Test-Taking Tips
Practice and completion
- Use worked examples and lesson practice to check understanding after each module.
- Review incorrect answers, explain the correction, and repeat weak skills.
- Complete the available mixed or final course practice to demonstrate readiness.
Course Outcomes
By the end of this course, learners will be able to:
- Explain and apply the mathematical ideas in What a Fraction Means: Equal Parts, Numerator, Denominator.
- Solve multi-step problems involving Comparing and Ordering Fractions and show a clear method.
- Interpret representations and check the reasonableness of work involving Borrowing With Mixed Numbers.
- Choose efficient strategies for unfamiliar questions related to Fraction Case Studies: Recipes, Shopping, Schedules, and Measurement.
- Combine skills from Fraction Shortcuts & Test-Taking Tips with earlier topics in mixed practice.
- Use feedback and answer explanations to diagnose and correct mistakes.
- Complete mixed, exam-style practice with clearer reasoning and greater independence.
📝 Practice Questions
46 interactive questions with instant feedback and explanations.
Enroll for free to unlock the full practice bank after the trial sessions.