Fractions

• What do fractions represent in relation to a whole number?


  Fractions show parts out of a whole number.
• What are equivalent fractions?


  Equivalent fractions are fractions that are worth the same even if written differently.
• Give an example of equivalent fractions.


  For example, $\frac{1}{2}$ is the same as $\frac{2}{4}$.
• How can you order fractions?

  Fractions can be ordered by converting them to decimals or using a common denominator.
• How do you convert fractions into decimals to order them?


  1. Divide the numerator by the denominator.
  2. Example:

  • $\frac{1}{2} =$$0.5$
  • $\frac{3}{4} =$$0.75$
  • $\frac{4}{5} =$$0.8$
  • $\frac{3}{8} =$$0.375$
• What is the descending order of the fractions $\frac{1}{2}$, $\frac{3}{4}$, $\frac{4}{5}$, and $\frac{3}{8}$?


  The descending order is $\frac{4}{5}, \frac{3}{4}, \frac{1}{2}, \frac{3}{8}$.
• How do you find equivalent fractions?


  You find equivalent fractions by multiplying or dividing the numerator and denominator by the same number.
• What is the equivalent fraction of $\frac{1}{3}$ with a denominator of 6?


  The equivalent fraction is $\frac{2}{6}$.
• How do you order fractions using a common denominator?


  1. Find the least common multiple (LCM) of the denominators.
  2. Rewrite each fraction with the common denominator.
  3. Order the fractions based on their numerators.
• What is the LCM of the denominators 2, 3, and 12?


  The LCM is 12.
• What is a mixed number?


  A mixed number is a number that consists of a whole number and a fraction.
• What is an improper fraction?


  An improper fraction is when the numerator is greater than the denominator.
• How do you convert a mixed number to an improper fraction?

  Multiply the whole number by the denominator and add the numerator.
• Convert $3 \frac{1}{2}$ into an improper fraction.


  The improper fraction is $\frac{7}{2}$.
• How do you convert an improper fraction to a mixed number?


  Divide the numerator by the denominator to find the whole number and the remainder as the new numerator.
• Convert $\frac{7}{5}$ into a mixed number.


  The mixed number is $1 \frac{2}{5}$.
• What is the process for adding or subtracting fractions with the same denominator?


  • Add or subtract the numerators.
  • Keep the denominator the same.
  • Example: $\frac{2}{11} +$$\frac{5}{11} =$$\frac{7}{11}$
• How do you add fractions with different denominators?


  You find the common denominator and rewrite the fractions accordingly.
• What is the sum of $\frac{4}{7}$ and $\frac{5}{3}$?


  The sum is $\frac{19}{21}$.
• How do you multiply fractions?


  • Multiply the numerators together.
  • Multiply the denominators together.
  • Example: $\frac{3}{5} \times \frac{2}{3} =$$\frac{6}{15}$
• How do you divide fractions?


  • Change the division sign to multiplication.
  • Take the reciprocal of the second fraction.
  • Example: $\frac{3}{5} \div \frac{2}{3} =$$\frac{3}{5} \times \frac{3}{2} =$$\frac{9}{10}$
• What are the two methods to work out a fraction of an amount?

  1. Multiplying fractions.
  2. Unitary method.
• How do you find $\frac{3}{5}$ of 40?


  First, multiply $3 \times 40 =$$120$, then divide by 5 to get 24.
• How do you find $\frac{3}{4}$ of 16?


  First, find $1$ of 16 by dividing by 4, then multiply by 3 to get 12.
• What is the unitary method for finding fractions of amounts?


  • Find what 1 of something is worth.
  • Multiply by the number of numerators.