Comparing Fractions 1
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Question 1 of 4
1. Question
Which is a bigger fraction?Hint
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Fractions are easier compared when they have the same denominator.First, make sure the two fractions have the same denominatorIdentify what number can be multiplied to `4` to get `8`.`4xx``?` `=` `8` `4xx``2` `=` `8` You can also get `2` by dividing `8` by `4` Multiply `2` to both the numerator and denominator$$\frac{3\times\color{#CC0000}{2}}{4\times\color{#CC0000}{2}}$$ `=` `6/8` Choose the fraction with a larger numerator`6/8` or `7/8`Since `7/8` has a larger numerator, it is the larger fraction`7/8` 
Question 2 of 4
2. Question
Which is a bigger fraction?Hint
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Fractions are easier compared when they have the same denominator.First, make sure the two fractions have the same denominatorIdentify the `LCD` of `3` and `2` by listing their multiplesMultiples of `3`:$$3\;\;\color{#004ec4}{6}\;\;9\;\;12$$Multiples of `2`:$$2\;\;4\;\;\color{#004ec4}{6}\;\;8$$The LCD of `3` and `2` is `6`Convert the two fractions so that their denominator is `6`$$\frac{1\times\color{#CC0000}{2}}{3\times\color{#CC0000}{2}}$$ `=` $$\frac{2}{\color{#004ec4}{6}}$$ $$\frac{1\times\color{#CC0000}{3}}{2\times\color{#CC0000}{3}}$$ `=` $$\frac{3}{\color{#004ec4}{6}}$$ Choose the fraction with a larger numerator`2/6` or `3/6`Since `3/6` has a larger numerator, `1/2` is the larger fraction`1/2` 
Question 3 of 4
3. Question
Organise the fractions from smallest to biggest.Drag the fractions to arrange them
`1/6`

`5/21`

`2/7`
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.Fractions are easier compared when they have the same denominator.First, make sure the three fractions have the same denominatorFind the `LCD` of `7`, `6` and `21`.Multiples of `7`:$$7\;\;14\;\;21\;\;28\;\;35\;\;\color{#004ec4}{42}\;\;49$$Multiples of `6`:$$6\;\;12\;\;18\;\;24\;\;30\;\;36\;\;\color{#004ec4}{42}\;\;48$$Multiples of `21`:$$21\;\;\color{#004ec4}{42}\;\;63\;\;84$$The `LCD` of `7`, `6` and `21` is `42`Transform the fractions so that they have `42` as the denominator$$\frac{2\times\color{#CC0000}{6}}{7\times\color{#CC0000}{6}}$$ `=` $$\frac{12}{\color{#004ec4}{42}}$$ $$\frac{1\times\color{#CC0000}{7}}{6\times\color{#CC0000}{7}}$$ `=` $$\frac{7}{\color{#004ec4}{42}}$$ $$\frac{5\times\color{#CC0000}{2}}{21\times\color{#CC0000}{2}}$$ `=` $$\frac{10}{\color{#004ec4}{42}}$$ Finally, arrange the fractions from the smallest numerator to the largest$$\frac{12}{42},\frac{7}{42},\frac{10}{42}$$ `=` $$\frac{7}{42},\frac{10}{42},\frac{12}{42}$$ `=` `1/6,5/21,2/7` Reduce back to lowest terms `1/6,5/21,2/7` 

Question 4 of 4
4. Question
Organise the fractions from largest to smallest.Drag the fractions to arrange them
`8/9`

`5/6`

`2/3`
Hint
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.Fractions are easier compared when they have the same denominator.First, make sure the three fractions have the same denominatorFind the `LCD` of `6`, `9` and `3`.Multiples of `6`:$$6\;\;12\;\;\color{#004ec4}{18}\;\;24$$Multiples of `9`:$$9\;\;\color{#004ec4}{18}\;\;27\;\;36$$Multiples of `3`:$$3\;\;6\;\;9\;\;12\;\;15\;\;\color{#004ec4}{18}\;\;21$$The `LCD` of `6`, `9` and `3` is `18`Transform the fractions so that they have `18` as the denominator$$\frac{5\times\color{#CC0000}{3}}{6\times\color{#CC0000}{3}}$$ `=` $$\frac{15}{\color{#004ec4}{18}}$$ $$\frac{8\times\color{#CC0000}{2}}{9\times\color{#CC0000}{2}}$$ `=` $$\frac{16}{\color{#004ec4}{18}}$$ $$\frac{2\times\color{#CC0000}{6}}{3\times\color{#CC0000}{6}}$$ `=` $$\frac{12}{\color{#004ec4}{18}}$$ Finally, arrange the fractions from the largest numerator to the smallest$$\frac{15}{18},\frac{16}{18},\frac{12}{18}$$ `=` $$\frac{12}{18},\frac{15}{18},\frac{16}{18}$$ `=` `8/9,5/6,2/3` Reduce back to lowest terms `8/9,5/6,2/3` 
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