Fractions

Fractions

1. Adding fractions

   • First make sure the denominators are the same. For example for 1/2 and 1/3 you would make the denominator 6 and then multiply the 1's by 3 and two to make 3/6 and 2/6. you then add them together to make 5/6.
   • Simplify
   • Convert Improper fraction to Mixed numbers or whole numbers

2. Subtracting fractions

   • All you have to do is the same as adding but subtract the numerator.
   • Watch out for when 1st fraction is smaller than second - then convert mixed number into an improper fraction in order to solve the problem

3. Mulitplying fractions

   • To multiply fractions you multiply the numerators together and then multiply the denominators together. So it will look like this 2/3x4/5=8/15
   • Multiplying whole number by fractions
   • Multiplying fractions by fractions
   • Result is ALWAYS LESS than the original

4. Dividing fractions?

   • DIvidign whole numbers by a fraction
     • Result will be larger than original number
   • Dividing fraction by fraction
     • Keep the first fraction the same flip the the second fraction upside down and change the division sign to a multiply sign. For example 3/5 / 4/6 = 3/5x6/4= 18/20=9/10

5. NOTE: ALWAYS SIMPLIFY

6. Fractions of amounts 3/4 of 50

   • Dividing into zero: If $\color[rgb]{0,0.36,0.11}a$ is not zero, then $\color[rgb]{0,0.36,0.11}\frac{0}{a} = 0$.

7. Finding the original number 3/4 of the rooms in a hotel are occupied 60 rooms occupied, how many rooms in hotel?

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