Podcast
Questions and Answers
What is the sum of the fractions $\frac{3}{4}$ and $\frac{1}{3}$?
What is the sum of the fractions $\frac{3}{4}$ and $\frac{1}{3}$?
- $\frac{13}{12}$ (correct)
- $\frac{11}{12}$
- $\frac{7}{12}$
- $\frac{10}{12}$
What is the result of subtracting $\frac{5}{8}$ from $\frac{7}{8}$?
What is the result of subtracting $\frac{5}{8}$ from $\frac{7}{8}$?
- $\frac{1}{4}$
- $\frac{1}{2}$
- $\frac{3}{8}$ (correct)
- $\frac{2}{8}$
What do you get when multiplying the fractions $\frac{2}{5}$ and $\frac{3}{7}$?
What do you get when multiplying the fractions $\frac{2}{5}$ and $\frac{3}{7}$?
- $\frac{1}{35}$
- $\frac{5}{21}$
- $\frac{1}{21}$
- $\frac{6}{35}$ (correct)
What is the result of dividing $\frac{9}{10}$ by $\frac{3}{5}$?
What is the result of dividing $\frac{9}{10}$ by $\frac{3}{5}$?
When adding the fractions $\frac{1}{2}$ and $\frac{2}{3}$, what is the least common denominator you should use?
When adding the fractions $\frac{1}{2}$ and $\frac{2}{3}$, what is the least common denominator you should use?
When adding fractions with different denominators, what is the first step you should take?
When adding fractions with different denominators, what is the first step you should take?
Which of the following statements about dividing fractions is true?
Which of the following statements about dividing fractions is true?
What is a common misconception when adding fractions?
What is a common misconception when adding fractions?
Flashcards
Adding Fractions
Adding Fractions
Adding fractions involves combining parts of a whole. To add fractions, the denominators (bottom numbers) must be the same. If they are different, find a common denominator. Then, add the numerators (top numbers) while keeping the denominator the same.
Subtracting Fractions
Subtracting Fractions
Subtracting fractions is like taking away parts of a whole. Like addition, the denominators need to be the same. Subtract the numerators and keep the denominator the same.
Multiplying Fractions
Multiplying Fractions
Multiplying fractions involves finding a part of a part. Multiply the numerators and the denominators to get the new fraction. Simplify if possible.
Dividing Fractions
Dividing Fractions
Signup and view all the flashcards
Simplifying Fractions
Simplifying Fractions
Signup and view all the flashcards
Study Notes
Adding Fractions
- To add fractions with the same denominator, add the numerators and keep the denominator the same.
- Example: 1/5 + 3/5 = (1 + 3)/5 = 4/5
- If the fractions have different denominators, find a common denominator.
- Convert each fraction to an equivalent fraction with the common denominator.
- Add the new fractions with the same denominator as above.
- Example: 1/2 + 1/3. Find the least common multiple (LCM) of 2 and 3, which is 6. Convert 1/2 to 3/6 and 1/3 to 2/6. 3/6 + 2/6 = 5/6
Subtracting Fractions
- To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same.
- Example: 5/8 - 2/8 = (5 - 2)/8 = 3/8
- If the fractions have different denominators, find a common denominator and follow the same steps as addition, but subtract the numerators.
- Example: 3/4 - 1/3. Find the LCM of 4 and 3, which is 12. Convert 3/4 to 9/12 and 1/3 to 4/12. 9/12 - 4/12 = 5/12
Multiplying Fractions
- To multiply fractions, multiply the numerators together and multiply the denominators together.
- Example: (2/3) * (4/5) = (2 * 4) / (3 * 5) = 8/15
- Simplify the resulting fraction if possible by dividing the numerator and denominator by their greatest common divisor (GCD).
- Always simplify fractions when the result of multiplication is not in simplest form.
Dividing Fractions
- To divide fractions, invert (or reciprocate) the second fraction and then multiply.
- Example: (3/4) / (1/2) = (3/4) * (2/1) = 6/4 = 3/2.
- Note: Always simplify fractions when dividing. In this example, 6/4, simplified by dividing both numerator and denominator by 2, equals 3/2.
- Ensure both fractions are expressed in the lowest possible terms before performing an operation.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
