Summary: Adding and Subtracting Fractions With Common Denominaotrs

Key Concepts

  • Fraction Addition
    • If [latex]a,b[/latex], and [latex]c[/latex] are numbers where [latex]c\ne 0[/latex] , then [latex]{\Large\frac{a}{c}}+{\Large\frac{b}{c}}={\Large\frac{a+c}{c}}[/latex] .
    • To add fractions, add the numerators and place the sum over the common denominator.
  • Fraction Subtraction
    • If [latex]a,b[/latex], and [latex]c[/latex] are numbers where [latex]c\ne 0[/latex] , then [latex]{\Large\frac{a}{c}}-{\Large\frac{b}{c}}={\Large\frac{a-b}{c}}[/latex] .
    • To subtract fractions, subtract the numerators and place the difference over the common denominator.

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