Fractions

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How to multiply, divide, add and subtract fractions?
Grainne Barry
Mind Map by Grainne Barry, updated more than 1 year ago More Less
Kayleigh Elkins
Created by Kayleigh Elkins over 9 years ago
Grainne Barry
Copied by Grainne Barry almost 8 years ago
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Resource summary

Fractions
  1. Adding fractions
    1. 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.
      1. Simplify
        1. Convert Improper fraction to Mixed numbers or whole numbers
        2. Subtracting fractions
          1. All you have to do is the same as adding but subtract the numerator.
            1. Watch out for when 1st fraction is smaller than second - then convert mixed number into an improper fraction in order to solve the problem
            2. Mulitplying fractions
              1. 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
                1. Multiplying whole number by fractions
                  1. Multiplying fractions by fractions
                    1. Result is ALWAYS LESS than the original
                    2. Dividing fractions?
                      1. DIvidign whole numbers by a fraction
                        1. Result will be larger than original number
                        2. Dividing fraction by fraction
                          1. 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
                        3. NOTE: ALWAYS SIMPLIFY
                          1. Fractions of amounts 3/4 of 50
                            1. Dividing into zero: If $\color[rgb]{0,0.36,0.11}a$ is not zero, then $\color[rgb]{0,0.36,0.11}\frac{0}{a} = 0$.
                            2. 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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