Comparing Fractions 2
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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 `5` to get `10`.`5xx``?` `=` `10` `5xx``2` `=` `10` You can also get `2` by dividing `10` by `5` Multiply `2` to both the numerator and denominator$$\frac{4\times\color{#CC0000}{2}}{5\times\color{#CC0000}{2}}$$ `=` `8/10` Choose the fraction with a larger numerator`8/10` or `7/10`Since `8/10` has a larger numerator, `3/5` is the larger fraction`4/5` -
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 `6` and `7` by listing their multiplesMultiples of `6`:$$6\;\;12\;\;18\;\;24\;\;30\;\;36\;\;\color{#004ec4}{42}\;\;48$$Multiples of `7`:$$7\;\;14\;\;21\;\;28\;\;35\;\;\color{#004ec4}{42}\;\;49$$The LCD of `6` and `7` is `42`Convert the two fractions so that their denominator is `42`$$\frac{1\times\color{#CC0000}{7}}{6\times\color{#CC0000}{7}}$$ `=` $$\frac{7}{\color{#004ec4}{42}}$$ $$\frac{2\times\color{#CC0000}{6}}{7\times\color{#CC0000}{6}}$$ `=` $$\frac{12}{\color{#004ec4}{42}}$$ Choose the fraction with a larger numerator`7/42` or `12/42`Since `12/42` has a larger numerator, `2/7` is the larger fraction`2/7` -
Question 3 of 4
3. Question
Organise the fractions from smallest to biggest.Drag the fractions to arrange them-
`1/4`
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`3/10`
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`1/2`
Hint
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Correct!
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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`, `2` and `4`.Multiples of `10`:$$10\;\;\color{#004ec4}{20}\;\;30$$Multiples of `2`:$$2\;\;4\;\;6\;\;8\;\;10\;\;12\;\;14\;\;16\;\;18\;\;\color{#004ec4}{20}$$Multiples of `4`:$$4\;\;8\;\;12\;\;16\;\;\color{#004ec4}{20}\;\;24$$The `LCD` of `10`, `2` and `4` is `20`Transform the fractions so that they have `20` as the denominator$$\frac{3\times\color{#CC0000}{2}}{10\times\color{#CC0000}{2}}$$ `=` $$\frac{6}{\color{#004ec4}{20}}$$ $$\frac{1\times\color{#CC0000}{10}}{2\times\color{#CC0000}{10}}$$ `=` $$\frac{10}{\color{#004ec4}{20}}$$ $$\frac{1\times\color{#CC0000}{5}}{4\times\color{#CC0000}{5}}$$ `=` $$\frac{5}{\color{#004ec4}{20}}$$ Finally, arrange the fractions from the smallest numerator to the largest$$\frac{6}{20},\frac{10}{20},\frac{5}{20}$$ `=` $$\frac{5}{20},\frac{6}{20},\frac{10}{20}$$ `=` $$\frac{1}{4},\frac{3}{10},\frac{1}{2}$$ Reduce back to lowest terms `1/4,3/10,1/2` -
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Question 4 of 4
4. Question
Organise the fractions from smallest to biggest.Drag the fractions to arrange them-
`2/3`
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`3/4`
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`7/8`
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 `8`, `3` and `4`.Multiples of `8`:$$8\;\;16\;\;\color{#004ec4}{24}\;\;32$$Multiples of `3`:$$3\;\;6\;\;9\;\;12\;\;15\;\;18\;\;21\;\;\color{#004ec4}{24}\;\;27$$Multiples of `4`:$$4\;\;8\;\;12\;\;16\;\;20\;\;\color{#004ec4}{24}\;\;28$$The `LCD` of `8`, `3` and `4` is `24`Transform the fractions so that they have `24` as the denominator$$\frac{7\times\color{#CC0000}{3}}{8\times\color{#CC0000}{3}}$$ `=` $$\frac{21}{\color{#004ec4}{24}}$$ $$\frac{2\times\color{#CC0000}{8}}{3\times\color{#CC0000}{8}}$$ `=` $$\frac{16}{\color{#004ec4}{24}}$$ $$\frac{3\times\color{#CC0000}{6}}{4\times\color{#CC0000}{6}}$$ `=` $$\frac{18}{\color{#004ec4}{24}}$$ Finally, arrange the fractions from the smallest numerator to the largest$$\frac{21}{24},\frac{16}{24},\frac{18}{24}$$ `=` $$\frac{16}{24},\frac{18}{24},\frac{21}{24}$$ `=` `2/3,3/4,7/8` Reduce back to lowest terms `2/3,3/4,7/8` -
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 LCM
- 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 Fractions 1
- Multiply and Divide Mixed Fractions 2
- Multiply and Divide Mixed Fractions 3
- Multiply and Divide Mixed Fractions 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