Add and Subtract Fractions 3
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Question 1 of 5
1. Question
Subtract the following`2/33/10`Write the fraction in the format “a/b” (11/30)
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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 `3` and `10`Multiples of `3`:$$3\;\;6\;\;9\;\;12\;\;15\;\;18\;\;21\;\;24\;\;27\;\;\color{#004ec4}{30}\;\;33$$Multiples of `10`:$$10\;\;20\;\;\color{#004ec4}{30}\;\;40\;\;50$$The `LCD` of `3` and `10` is `30`Use the `LCD` as the denominator for both fractions then proceed with subtracting.`2/33/10` `=` $$\frac{2\times\color{#CC0000}{10}}{3\times\color{#CC0000}{10}}\frac{3\times\color{#CC0000}{3}}{10\times\color{#CC0000}{3}}$$ Multiply each fraction so that their denominator becomes `30` `=` $$\frac{20}{\color{#004ec4}{30}}\frac{9}{\color{#004ec4}{30}}$$ Subtract the numerators `=` $$\frac{11}{30}$$ Keep the same denominator `11/30`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`2/33/10` `=` `☐/(3times10)` `=` `☐/30` To get the numerator, cross multiply the given addition problem and subtract the products.$$\frac{\color{#00880A}{2}}{\color{#9a00c7}{3}}\frac{\color{#9a00c7}{3}}{\color{#00880A}{10}}$$ `=` $$\frac{(\color{#00880A}{2\times10})(\color{#9a00c7}{3\times3})}{30}$$ `=` `(209)/30` `=` `11/30` `11/30` 
Question 2 of 5
2. Question
Subtract the following`4/55/20`Write the fraction in the format “a/b” (11/20)
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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 `5` and `20`Multiples of `5`:$$5\;\;10\;\;15\;\;\color{#004ec4}{20}\;\;25$$Multiples of `8`:$$\color{#004ec4}{20}\;\;40\;\;60$$The `LCD` of `5` and `20` is `20`Use the `LCD` as the denominator for both fractions then proceed with subtracting.`4/55/20` `=` $$\frac{4\times\color{#CC0000}{4}}{5\times\color{#CC0000}{4}}\frac{5}{20}$$ Multiply by `4` so that the denominator becomes `20` `=` $$\frac{16}{\color{#004ec4}{20}}\frac{5}{\color{#004ec4}{20}}$$ Subtract the numerators `=` $$\frac{11}{20}$$ Keep the same denominator `11/20` 
Question 3 of 5
3. Question
Subtract the following`1/41/5`Write the fraction in the format “a/b” (1/20)
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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 `4` and `5`Multiples of `4`:$$4\;\;8\;\;12\;\;16\;\;\color{#004ec4}{20}\;\;24\;\;28$$Multiples of `5`:$$5\;\;10\;\;15\;\;\color{#004ec4}{20}\;\;25\;\;30$$The `LCD` of `4` and `5` is `20`Use the `LCD` as the denominator for both fractions then proceed with subtracting.`1/41/5` `=` $$\frac{1\times\color{#CC0000}{5}}{4\times\color{#CC0000}{5}}\frac{1\times\color{#CC0000}{4}}{5\times\color{#CC0000}{4}}$$ Multiply each fraction so that their denominator becomes `20` `=` $$\frac{5}{\color{#004ec4}{20}}\frac{4}{\color{#004ec4}{20}}$$ Subtract the numerators `=` $$\frac{1}{20}$$ Keep the same denominator `1/20`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`1/41/5` `=` `☐/(4times5)` `=` `☐/20` To get the numerator, cross multiply the given addition problem and subtract the products.$$\frac{\color{#00880A}{1}}{\color{#9a00c7}{4}}\frac{\color{#9a00c7}{1}}{\color{#00880A}{5}}$$ `=` $$\frac{(\color{#00880A}{1\times5})(\color{#9a00c7}{4\times1})}{20}$$ `=` `(54)/20` `=` `1/20` `1/20` 
Question 4 of 5
4. Question
Subtract the following`7/82/3`Write the fraction in the format “a/b” (5/24)
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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 `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 subtracting.`7/82/3` `=` $$\frac{7\times\color{#CC0000}{3}}{8\times\color{#CC0000}{3}}\frac{2\times\color{#CC0000}{8}}{3\times\color{#CC0000}{8}}$$ Multiply each fraction so that their denominator becomes `24` `=` $$\frac{21}{\color{#004ec4}{24}}\frac{16}{\color{#004ec4}{24}}$$ Subtract the numerators `=` $$\frac{5}{24}$$ Keep the same denominator `5/24`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`7/82/3` `=` `☐/(8times3)` `=` `☐/24` To get the numerator, cross multiply the given addition problem and subtract the products.$$\frac{\color{#00880A}{7}}{\color{#9a00c7}{8}}\frac{\color{#9a00c7}{2}}{\color{#00880A}{3}}$$ `=` $$\frac{(\color{#00880A}{7\times3})(\color{#9a00c7}{8\times2})}{24}$$ `=` `(2116)/24` `=` `5/24` `5/24` 
Question 5 of 5
5. Question
Subtract the following`1/2+2/53/10`Write the fraction in the format “a/b” and express in lowest terms (3/5)
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Add and subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsStart with listing out multiples of `2`, `5` and `10`Multiples of `2`:$$2\;\;4\;\;6\;\;8\;\;\color{#004ec4}{10}\;\;12$$Multiples of `5`:$$5\;\;\color{#004ec4}{10}\;\;15\;\;20$$Multiples of `10`:$$\color{#004ec4}{10}\;\;20\;\;30$$The `LCD` of `2`, `5` and `10` is `10`Use the `LCD` as the denominator for the fractions then proceed with solving.`1/2+2/53/10` `=` $$\frac{1\times\color{#CC0000}{5}}{2\times\color{#CC0000}{5}}+\frac{2\times\color{#CC0000}{2}}{5\times\color{#CC0000}{2}}\frac{3}{10}$$ Multiply the fractions so that the denominator becomes `10` `=` $$\frac{5}{\color{#004ec4}{10}}+\frac{4}{\color{#004ec4}{10}}\frac{3}{\color{#004ec4}{10}}$$ Solve only the numerators `=` $$\frac{6}{10}$$ Keep the same denominator `=` $$\frac{6\div\color{#CC0000}{2}}{10\div\color{#CC0000}{2}}$$ Express in lowest terms `=` $$\frac{3}{5}$$ `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 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