Comparing Fractions 3
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Question 1 of 3
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 the `LCD` of `3` and `8` by listing their multiplesMultiples of `3`:$$3\;\;6\;\;9\;\;12\;\;15\;\;18\;\;21\;\;\color{#004ec4}{24}\;\;27$$Multiples of `8`:$$8\;\;16\;\;21\;\;\color{#004ec4}{24}\;\;32$$The LCD of `3` and `8` is `24`Convert the two fractions so that their denominator is `24`$$\frac{2\times\color{#CC0000}{8}}{3\times\color{#CC0000}{8}}$$ `=` $$\frac{16}{\color{#004ec4}{24}}$$ $$\frac{5\times\color{#CC0000}{3}}{8\times\color{#CC0000}{3}}$$ `=` $$\frac{15}{\color{#004ec4}{24}}$$ Choose the fraction with a larger numerator`16/24` or `15/24`Since `16/24` has a larger numerator, `2/3` is the larger fraction`2/3` -
Question 2 of 3
2. Question
Organise the fractions from largest to smallest.Drag the fractions to arrange them-
`4/5`
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`3/4`
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`2/3`
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.Fractions are easier compared when they have the same denominator.First, make sure the three fractions have the same denominatorSince `4`, `5` and `3` doesn’t have any immediate common multiple, simply multiply them to find their `LCD``4xx5xx3` `=` `60` The `LCD` of `4`, `5` and `3` is `60`Transform the fractions so that they have `60` as the denominator$$\frac{3\times\color{#CC0000}{15}}{4\times\color{#CC0000}{15}}$$ `=` $$\frac{45}{\color{#004ec4}{60}}$$ $$\frac{4\times\color{#CC0000}{12}}{5\times\color{#CC0000}{12}}$$ `=` $$\frac{48}{\color{#004ec4}{60}}$$ $$\frac{2\times\color{#CC0000}{20}}{3\times\color{#CC0000}{20}}$$ `=` $$\frac{40}{\color{#004ec4}{60}}$$ Finally, arrange the fractions from the largest numerator to the smallest$$\frac{45}{60},\frac{48}{60},\frac{40}{60}$$ `=` $$\frac{48}{60},\frac{45}{60},\frac{40}{60}$$ `=` `4/5,3/4,2/3` Reduce back to lowest terms `4/5,3/4,2/3` -
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Question 3 of 3
3. Question
Organise the fractions from largest to smallest.Drag the fractions to arrange them-
`11/15`
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`7/10`
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`3/5`
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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 `10`, `5` and `15`.Multiples of `10`:$$10\;\;20\;\;\color{#004ec4}{30}\;\;40$$Multiples of `5`:$$5\;\;10\;\;15\;\;\color{#004ec4}{30}\;\;35$$Multiples of `15`:$$15\;\;\color{#004ec4}{30}\;\;45\;\;60$$The `LCD` of `10`, `5` and `15` is `30`Transform the fractions so that they have `30` as the denominator$$\frac{7\times\color{#CC0000}{3}}{10\times\color{#CC0000}{3}}$$ `=` $$\frac{21}{\color{#004ec4}{30}}$$ $$\frac{3\times\color{#CC0000}{6}}{5\times\color{#CC0000}{6}}$$ `=` $$\frac{18}{\color{#004ec4}{30}}$$ $$\frac{11\times\color{#CC0000}{2}}{15\times\color{#CC0000}{2}}$$ `=` $$\frac{22}{\color{#004ec4}{30}}$$ Finally, arrange the fractions from the largest numerator to the smallest$$\frac{21}{30},\frac{18}{30},\frac{22}{30}$$ `=` $$\frac{18}{30},\frac{21}{30},\frac{22}{30}$$ `=` `11/15,7/10,3/5` Reduce back to lowest terms `11/15,7/10,3/5` -
Quizzes
- Shaded Fractions 1
- Shaded Fractions 2
- Equivalent Fractions 1
- Equivalent Fractions 2
- Equivalent Fractions 3
- Equivalent Fractions 4
- Simplify Fractions 1
- Simplify Fractions 2
- Simplify Fractions 3
- Find the Lowest Common Denominator
- Comparing Fractions 1
- Comparing Fractions 2
- Comparing Fractions 3
- Mixed and Improper Fractions 1
- Mixed and Improper Fractions 2
- Mixed and Improper Fractions 3
- Add and Subtract Fractions 1
- Add and Subtract Fractions 2
- Add and Subtract Fractions 3
- Add and Subtract Fractions 4
- Multiply and Divide Fractions 1
- Multiply and Divide Fractions 2
- Multiply and Divide Fractions 3
- Add and Subtract Mixed Numbers 1
- Add and Subtract Mixed Numbers 2
- Add and Subtract Mixed Numbers 3
- Multiply and Divide Mixed Numbers 1
- Multiply and Divide Mixed Numbers 2
- Multiply and Divide Mixed Numbers 3
- Multiply and Divide Mixed Numbers 4
- Fraction Word Problems: Addition and Subtraction 1
- Fraction Word Problems: Addition and Subtraction 2
- Fraction Word Problems: Addition and Subtraction 3
- Fraction Word Problems: Addition and Subtraction 4
- Fraction Word Problems: Multiplication and Division
- Find the Fraction of a Quantity
- Find the Quantity of a Quantity 1
- Find the Quantity of a Quantity 2
- Find the Fraction of a Quantity: Word Problems 1
- Find the Fraction of a Quantity: Word Problems 2
- Find the Fraction of a Quantity: Word Problems 3
- Find the Fraction of a Quantity: Word Problems 4
- Find the Quantity of a Quantity: Word Problems
- Order of Operations Involving Fractions 1
- Order of Operations Involving Fractions 2