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Solving problems with rational numbers in fraction form

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Overview

Grade 8 Math
Develop number sense
8. Solve problems involving positive rational numbers
8.4 Solving problems with rational numbers in fraction form

Rational Numbers in Fraction Form

Rational numbers written as fractions can be added, subtracted, multiplied, and divided using fraction rules.

What You'll Learn

A rational number in fraction form is a over b, with integers a and b, b not zero.
Adding or subtracting fractions requires a common denominator.
Multiplying fractions: multiply numerators together and denominators together.
Dividing by a fraction means multiplying by its reciprocal.
Convert mixed numbers to improper fractions before solving a word problem.

What You'll Practice

1

Adding and subtracting fractions with unlike denominators

2

Converting between mixed numbers and improper fractions

3

Multiplying and dividing fractions, including negative values

4

Solving multi-step word problems involving fractional amounts

Why This Matters

Mastering rational numbers in fraction form is essential for algebra, geometry, and real-world applications like cooking, budgeting, and construction. These skills form the foundation for working with ratios, proportions, and equations throughout higher math courses.

Before You Start — Make Sure You Can:

Multiplying fractions and whole numbersDividing fractions with whole numbersMultiplying proper fractionsMultiplying improper fractions and mixed numbers

This Unit Includes

13 Video lessons
Practice exercises
Learning resources

Skills

Fractions
Common Denominators
Mixed Numbers
Improper Fractions
Fraction Operations
Rational Numbers
Negative Numbers
Simplification
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