1.2.2 Performing calculations with fractions

• What are equivalent fractions?

  Fractions that represent the same value
• What are equivalent fractions?

  • Fractions that represent the same value
  • Created by multiplying or dividing both numerator and denominator by the same number
• What is the numerator in a fraction?

  The top number of the fraction
• How can you create equivalent fractions?

  By multiplying or dividing both numerator and denominator
• What are the steps to add or subtract fractions with different denominators?

  1. Identify the Least Common Multiple (LCM).
  2. Create equivalent fractions with the common denominator.
  3. Perform the addition or subtraction of the numerators.
• What remains unchanged when adding or subtracting fractions with common denominators?

  The denominator remains the same
• What is the process of converting fractions to have a common denominator?

  • Find the LCM of the denominators.
  • Multiply numerators and denominators to create equivalent fractions.
  • Ensure both fractions share the common denominator.
• What is the common denominator of one-half and two-thirds?

  6
• What is the result of subtracting $\frac{4}{7} - \frac{2}{7}$?


  $\frac{2}{7}$
• What is the value of $2/3$ expressed with the common denominator of 6?


  $4/6$
• What do you do after finding the common denominator?

  Multiply each fraction's numerator and denominator
• What is the final step after multiplying the numerators and denominators in fraction multiplication?

  Simplify if needed
• What is the simplified result of $\frac{2}{3} \div \frac{1}{4}$?


  2 $\frac{2}{3}$
• What should you do after multiplying the fractions?

  Simplify the resulting fraction if needed
• Why do you multiply the numerator and denominator to reach the common denominator?

  To create equivalent fractions for calculation
• What is the simplified result of $\frac{2}{12}$?


  $\frac{1}{6}$
• What do you do after finding a common denominator?

  Add or subtract the numerators
• What does the denominator indicate in a fraction?

  The total number of equal parts
• How do you identify the least common multiple (LCM) of two denominators?

  Find the smallest number both can divide into
• How does the process of dividing fractions differ from multiplying them?

  Dividing requires finding the reciprocal first
• What is the process to find equivalent fractions for 1/2?

  • Multiply numerator and denominator by 2:
  • 1/2 = 2/4
  • Divide numerator and denominator by 2:
  • 2/4 = 1/2
• How does the process of converting a mixed number to an improper fraction differ from converting a whole number to a fraction?

  Converting a whole number to a fraction involves placing the whole number over 1, while converting a mixed number involves multiplying the whole number by the denominator and adding the numerator
• What are the steps to convert a mixed number to an improper fraction?

  1. Look at the denominator of the fraction. This tells you how many parts make up a whole.
  2. Multiply the whole number by the denominator.
  3. Add the numerator to the result from step 2.
  4. Place this sum over the original denominator.
• What is the result of adding $\frac{2}{5} +$$\frac{1}{5}$?


  $\frac{3}{5}$
• What should you do if fractions do not have the same denominator?

  Find a common denominator first
• What is the denominator in a fraction?

  The bottom number of the fraction
• If the denominators are 2 and 3, what is the common denominator?

  6
• What are the steps to divide fractions?

  1. Find the reciprocal of the second fraction
  2. Multiply the first fraction by the reciprocal
  3. Simplify the resulting fraction if needed
• What are the steps to multiply fractions?

  1. Multiply the numerators
  2. Multiply the denominators
  3. Simplify if needed
• How do you convert the mixed number $2\frac{5}{6}$ to an improper fraction?


  1. Whole number: 2
  2. Denominator of fraction: 6
  3. Multiply 2 x 6 = 12
  4. Add numerator 5
  5. Improper fraction: $\frac{12+5}{6} =$$\frac{17}{6}$
• Steps to simplify a mixed number to its lowest terms

  1️⃣ Convert the mixed number to an improper fraction

  2️⃣ Simplify the improper fraction if needed

  3️⃣ Convert back to a mixed number if required
• How do you express the multiplication of two fractions?

  (a/b) × (c/d) = (a × c) / (b × d)
• How do you convert the whole number 5 to a fraction?

  1. Whole number: 5
  2. Denominator: 1
  3. Fraction: $\frac{5}{1}$
• What are the steps for adding fractions with common denominators?

  • Keep the denominator unchanged
  • Add the numerators
  • Write the result over the common denominator
• How do you convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 6?


  Multiply both by 3 to get $\frac{3}{6}$
• What is the result of multiplying $\frac{2}{3}$ by the reciprocal of $\frac{1}{4}$?


  $\frac{8}{3}$
• How do the fractions $\frac{1}{2}$ and $\frac{2}{3}$ change when finding a common denominator?


  • $\frac{1}{2} \rightarrow \frac{3}{6}$
  • $\frac{2}{3} \rightarrow \frac{4}{6}$
• Converting mixed numbers to improper fractions is useful for multiplication and division of fractions

  True
• What is the process to add or subtract fractions with different denominators?

  1. Find the common denominator
  2. Multiply numerators and denominators
  3. Use new equivalent fractions for calculation
• What is the first step to add or subtract fractions with different denominators?

  Find their common denominator