Mastering Fraction Addition

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AdvancedRabbit180
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5 Questions

What is the first step to add the fractions $\frac{2}{6}$ and $\frac{1}{6}$?

Multiply both top and bottom of the first fraction by 2

What is the result of $\frac{2}{6} + \frac{1}{6}$?

$\frac{3}{6}$

What is the simplified form of $\frac{3}{6}$?

$\frac{1}{2}$

To add fractions, what must be the same?

The bottom numbers

What is the key rule for multiplying fractions?

Multiply both the numerators and denominators

Study Notes

Simplifying Fractions

  • A fraction can be simplified by dividing it to get a number that's not a fraction or decimal.
  • When the numerator and denominator are the same, the fraction equals 1.

Adding Fractions with Like Denominators

  • To add fractions, follow three simple steps:
  • Step 1: Check if the bottom numbers (denominators) are the same.
  • Step 2: Add the top numbers and put the answer over the same denominator.
  • Step 3: Simplify the fraction.

Example of Adding Fractions with Like Denominators

  • When the denominators are the same, add the top numbers and put the answer over the same denominator.
  • Example: 2/4 + 1/4 = 3/4, which can be simplified to 1 2.

Example of Adding Fractions with Unlike Denominators

  • When the denominators are different, they need to be made the same before adding.
  • The fractions cannot be added directly if the denominators are different.
  • Example: 1/4 + 1/6 (cannot be added directly, need to make denominators the same).

Master the skill of adding fractions with like denominators by following these 15 simple steps. Learn to solve fractions if necessary and simplify them to their simplest form. Enhance your understanding of basic fraction arithmetic with this helpful guide.

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