Add and Subtract Fractions 4
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Question 1 of 4
1. Question
Add the following`1/8+2/3`Write the fraction in the format “a/b”- (19/24)
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Add fractions with unlike denominators by transforming the fractions so that they have the like denominatorsMethod OneStart with listing out multiples of `8` and `3`Multiples of `8`:$$8\;\;16\;\;\color{#004ec4}{24}\;\;32\;\;40$$Multiples of `3`:$$3\;\;6\;\;9\;\;12\;\;15\;\;18\;\;21\;\;\color{#004ec4}{24}\;\;27$$The `LCD` of `8` and `3` is `24`Use the `LCD` as the denominator for both fractions then proceed with adding.`1/8+2/3` `=` $$\frac{1\times\color{#CC0000}{3}}{8\times\color{#CC0000}{3}}+\frac{2\times\color{#CC0000}{8}}{3\times\color{#CC0000}{8}}$$ Multiply each fraction so that their denominator becomes `24` `=` $$\frac{3}{\color{#004ec4}{24}}+\frac{16}{\color{#004ec4}{24}}$$ Add the numerators `=` $$\frac{19}{24}$$ Keep the same denominator `19/24`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`1/8+2/3` `=` `☐/(8times3)` `=` `☐/24` To get the numerator, cross multiply the given addition problem and add the products.$$\frac{\color{#00880A}{1}}{\color{#9a00c7}{8}}+\frac{\color{#9a00c7}{2}}{\color{#00880A}{3}}$$ `=` $$\frac{(\color{#00880A}{1\times3})+(\color{#9a00c7}{8\times2})}{24}$$ `=` `(3+16)/24` `=` `19/24` `19/24` -
Question 2 of 4
2. Question
Subtract the following`13/16-3/8`Write the fraction in the format “a/b”- (7/16)
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Subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsStart with listing out multiples of `16` and `8`Multiples of `16`:$$\color{#004ec4}{16}\;\;32\;\;48$$Multiples of `8`:$$8\;\;\color{#004ec4}{16}\;\;24$$The `LCD` of `16` and `8` is `16`Use the `LCD` as the denominator for both fractions then proceed with subtracting.`13/16-3/8` `=` $$\frac{13}{16}-\frac{3\times\color{#CC0000}{2}}{8\times\color{#CC0000}{2}}$$ Multiply by `2` so that the denominator becomes `16` `=` $$\frac{13}{\color{#004ec4}{16}}-\frac{6}{\color{#004ec4}{16}}$$ Subtract the numerators `=` $$\frac{7}{16}$$ Keep the same denominator `7/16` -
Question 3 of 4
3. Question
Add the following. Simplify if needed.`1/7+1/7`Write fractions in the format “a/b”- (2/7)
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To add fractions with like denominators, add the numerators
and keep the same denominator.Since the denominators are the same, add only the numerators`1/7+1/7` `=` `2/7` Keep the same denominator `2/7` -
Question 4 of 4
4. Question
Subtract the following`4/5-1/2`Write the fraction in the format “a/b”- (3/10)
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Subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsMethod OneStart with listing out multiples of `5` and `2`Multiples of `5`:$$5\;\;\color{#004ec4}{10}\;\;15\;\;20$$Multiples of `4`:$$2\;\;4\;\;6\;\;8\;\;\color{#004ec4}{10}\;\;12$$The `LCD` of `5` and `2` is `10`Use the `LCD` as the denominator for both fractions then proceed with subtracting.`4/5-1/2` `=` $$\frac{4\times\color{#CC0000}{2}}{5\times\color{#CC0000}{2}}-\frac{1\times\color{#CC0000}{5}}{2\times\color{#CC0000}{5}}$$ Multiply each fraction so that their denominator becomes `20` `=` $$\frac{8}{\color{#004ec4}{10}}-\frac{5}{\color{#004ec4}{10}}$$ Subtract the numerators `=` $$\frac{3}{10}$$ Keep the same denominator `3/10`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`4/5-1/2` `=` `☐/(5times2)` `=` `☐/10` To get the numerator, cross multiply the given addition problem and subtract the products.$$\frac{\color{#00880A}{4}}{\color{#9a00c7}{5}}-\frac{\color{#9a00c7}{1}}{\color{#00880A}{2}}$$ `=` $$\frac{(\color{#00880A}{4\times2})-(\color{#9a00c7}{5\times1})}{10}$$ `=` `(8-5)/10` `=` `3/10` `3/10`
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