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Questions and Answers
What is the first step to add the fractions $\frac{2}{6}$ and $\frac{1}{6}$?
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 3
- Multiply the top and bottom of the second fraction by 2
- Multiply the top and bottom of the second fraction by 3
- Multiply both top and bottom of the first fraction by 2 (correct)
What is the result of $\frac{2}{6} + \frac{1}{6}$?
What is the result of $\frac{2}{6} + \frac{1}{6}$?
- $\frac{3}{6}$ (correct)
- $\frac{1}{6}$
- $\frac{2}{12}$
- $\frac{1}{3}$
What is the simplified form of $\frac{3}{6}$?
What is the simplified form of $\frac{3}{6}$?
- $\frac{3}{9}$
- $\frac{1}{3}$
- $\frac{1}{2}$ (correct)
- $\frac{2}{3}$
To add fractions, what must be the same?
To add fractions, what must be the same?
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What is the key rule for multiplying fractions?
What is the key rule for multiplying fractions?
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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).
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