Fractions

• What is a fraction?

  A fraction is part of a whole.
• How is a fraction written?

  A fraction is written as $\frac{a}{b}$ where $a$ and $b$ are whole numbers (integers).
• What is the numerator in a fraction?

  The numerator is the number on the top of the fraction.
• What is the denominator in a fraction?

  The denominator is the number on the bottom of the fraction.
• What does $\frac{a}{b}$ mean?


  It means to split something into $b$ parts and take $a$ of them.
• What does $\frac{1}{2}$ represent?


  It means to split something into 2 parts and take 1 of these parts.
• What does $\frac{2}{3}$ represent?


  It means to split something into 3 parts and take 2 of these parts.
• What does $\frac{4}{5}$ represent?


  It means to split something into 5 parts and take 4 of these parts.
• How do you find equivalent fractions?

  By multiplying the top and bottom of a fraction by the same amount.
• What is an example of equivalent fractions?


  $\frac{1}{2}$ is the same as $\frac{2}{4}$.
• What are equivalent fractions?

  Equivalent fractions are two fractions that represent the same amount.

  
• How can you create equivalent fractions?

  By multiplying the numerator and denominator by the same number.
• What is the simplest form of a fraction?

  It is when the numerator and denominator are divided by their greatest common factor.
• How do you simplify $\frac{12}{18}$?


  $\frac{12}{18} =$$\frac{2}{3}$ by dividing both by 6.
• How do you find a fraction of an amount using Method 1?

  Divide by the denominator and multiply by the numerator.
• How do you find $\frac{1}{2}$ of an amount?


  Divide the amount by 2.
• How do you find $\frac{2}{5}$ of an amount?


  Divide the amount by 5 and then multiply by 2.
• What is $\frac{2}{5}$ of 60?


  60 ÷ 5 = 12, then 12 × 2 = 24.
• How do you find a fraction of an amount using Method 2?

  Change the fraction into a decimal, then multiply.
• How do you find $\frac{1}{4}$ of an amount?


  Multiply the amount by 0.25.
• How do you find $\frac{9}{10}$ of an amount?


  Multiply the amount by 0.9.
• How do you find a fraction of an amount using Method 3?

  Write both numbers as fractions and multiply the two fractions together.
• What is a mixed number?

  A mixed number has a whole number part and a fraction part.
• What is a top heavy fraction?

  A top heavy fraction has the numerator bigger than the denominator.
• How do you turn mixed numbers into top heavy fractions?

  Multiply the whole number by the denominator, add that value to the numerator, and write the new numerator over the same denominator.

  
• How do you convert $3 \frac{3}{4}$ into an improper fraction?


  Multiply 3 by 4, add 3, and keep the denominator the same to get $\frac{15}{4}$.
• How do you convert $\frac{17}{5}$ into a mixed number?


  Divide 17 by 5 to get 3 remainder 2, which is $3 \frac{2}{5}$.
• What should you do before adding or subtracting mixed numbers?

  Always turn mixed numbers into top heavy fractions.
• How do you add or subtract fractions?

  Find the lowest common denominator, write each fraction as an equivalent fraction over this denominator, and then add or subtract the numerators.

  
• How do you find the lowest common denominator of 3 and 5?

  The lowest common denominator is 15.
• How do you add $\frac{2}{3} +$$\frac{1}{5}$?


  Find the lowest common denominator, which is 15, and write both fractions as $\frac{10}{15} +$$\frac{3}{15} =$$\frac{13}{15}$.
• How do you subtract $3 \frac{3}{4} - \frac{5}{8}$?


  Convert $3 \frac{3}{4}$ to $\frac{15}{4}$, find the lowest common denominator of 4 and 8, which is 8, and then subtract.
• What should you do before multiplying fractions?

  Always turn mixed numbers into top heavy fractions.
• How do you multiply $\frac{4}{15} \times \frac{25}{11}$?


  Cancel the 15 and 25 before multiplying, then multiply the numerators and denominators.
• What should you do before dividing fractions?

  Always turn mixed numbers into top heavy fractions.
• How do you divide $3 \frac{1}{4} \div \frac{3}{8}$?


  Rewrite $3 \frac{1}{4}$ as an improper fraction, flip the second fraction, and multiply.
• How do you simplify the final answer after dividing fractions?

  Cancel the final answer if possible.
• How do you rewrite the final answer as a mixed number?

  Divide the numerator by the denominator to get the whole number and the remainder over the denominator.
• What are the steps to turn mixed numbers into top heavy fractions?

  1. Multiply the whole number by the denominator.
  2. Add that value to the numerator.
  3. Write the new numerator over the same denominator.

  
• What are the steps to turn top heavy fractions into mixed numbers?

  1. Divide the numerator by the denominator to get a whole number.
  2. The remainder becomes the numerator of the fraction part.
  3. Write the fraction part over the same denominator.