Simplify Fractions 3
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Question 1 of 4
1. Question
Simplify`21/72`Write fractions in the format “a/b”- (7/24)
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The Highest Common Factor (`HCF`) between two numbers is the highest possible number that divides evenly to both numbers.To simplify a fraction, divide the numerator and denominator by their `HCF`Start by listing out the factors of each numberFactors of `21`:$$1\;\;3\;\;7\;\;21$$Factors of `72`:$$1\;\;2\;\;3\;\;4\;\;6\;\;8\;\;9\;\;12\;\;18$$Identify the highest number that is both a factor of `21` and `72`Factors of `21`:$$1\;\;\color{#CC0000}{3}\;\;7\;\;21$$Factors of `72`:$$1\;\;2\;\;\color{#CC0000}{3}\;\;4\;\;6\;\;8\;\;9\;\;12\;\;18$$The `HCF` of `21` and `72` is `3`Divide both the numerator and denominator by `3`$$\frac{21\div\color{#CC0000}{3}}{72\div\color{#CC0000}{3}}$$ `=` `7/24` `7/24` -
Question 2 of 4
2. Question
Simplify`120/135`Write fractions in the format “a/b”- (8/9)
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The Highest Common Factor (`HCF`) between two numbers is the highest possible number that divides evenly to both numbers.To simplify a fraction, divide the numerator and denominator by their `HCF`Alternatively, we can use any common factor and keep dividing until we get the simplest form$$\frac{120\div\color{#CC0000}{5}}{135\div\color{#CC0000}{5}}$$ `=` `24/27` Numbers ending at `5` or `0` are multiples of `5` Simplify the fraction further by dividing `3`$$\frac{24\div\color{#CC0000}{3}}{27\div\color{#CC0000}{3}}$$ `=` `8/9` Since this can no longer be simplified, `8/9` is the simplest fraction`8/9` -
Question 3 of 4
3. Question
Simplify`600/700`Write fractions in the format “a/b”- (6/7)
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The Highest Common Factor (`HCF`) between two numbers is the highest possible number that divides evenly to both numbers.Aside from using `HCF`, we can use an obvious common factor until we get the simplest formSince both numerator and denominator end with `2` zeroes, both are divisible by `100`$$\frac{600\div\color{#CC0000}{100}}{700\div\color{#CC0000}{100}}$$ `=` `6/7` Since this can no longer be simplified, `6/7` is the simplest fraction`6/7` -
Question 4 of 4
4. Question
Simplify`160/240`Write fractions in the format “a/b”- (2/3)
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The Highest Common Factor (`HCF`) between two numbers is the highest possible number that divides evenly to both numbers.To simplify a fraction, divide the numerator and denominator by their `HCF`Alternatively, we can use any common factor and keep dividing until we get the simplest form$$\frac{160\div\color{#CC0000}{10}}{240\div\color{#CC0000}{10}}$$ `=` `16/24` Numbers ending at `0` are multiples of `10` Simplify the fraction further by dividing `8`$$\frac{16\div\color{#CC0000}{8}}{24\div\color{#CC0000}{8}}$$ `=` `2/3` Since this can no longer be simplified, `2/3` is the simplest fraction`2/3`
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