Add and Subtract Fractions 2
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Question 1 of 4
1. Question
Add the following`3/7+2/7`Write the fraction in the format “a/b”- (5/7)
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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`3/7+2/7` `=` `5/7` Keep the same denominator `5/7` -
Question 2 of 4
2. Question
Add the following. Simplify if needed.`13/16+5/16`Hint
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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`13/16+5/16` `=` `18/16` Keep the same denominator Change the improper fraction to a mixed fractionDivide the numerator by the denominatorArrange the numbers for long division
`16` goes into `18` one time. So write `1` above the line.
Multiply `1` to `16` and write the answer below `18`
Subtract `16` from `18` and write the answer one line below
Since `16` cannot go into `2` anymore, `2` is left as the Remainder and `1` is the QuotientSubstitute values into the given formula$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ `=` $$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$ $$\frac{\color{#007DDC}{18}}{\color{#9a00c7}{16}}$$ `=` $$\color{#00880A}{1}\frac{\color{#e65021}{2}}{\color{#9a00c7}{16}}$$ `=` $$1\frac{2\div\color{#CC0000}{2}}{16\div\color{#CC0000}{2}}$$ `=` $$1\frac{1}{8}$$ `1 1/8` -
Question 3 of 4
3. Question
Add the following`3/4+1/20`Write the fraction in the format “a/b”- (4/5)
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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 `4` and `20`Multiples of `4`:$$4\;\;8\;\;12\;\;16\;\;\color{#004ec4}{20}$$Multiples of `20`:$$\color{#004ec4}{20}\;\;40\;\;60$$The `LCD` of `4` and `20` is `20`Use the `LCD` as the denominator for both fractions then proceed with adding.`3/4+1/20` `=` $$\frac{3\times\color{#CC0000}{5}}{4\times\color{#CC0000}{5}}+\frac{1}{20}$$ Multiply by `5` so that the denominator becomes `20` `=` $$\frac{15}{\color{#004ec4}{20}}+\frac{1}{\color{#004ec4}{20}}$$ Add the numerators `=` $$\frac{16}{20}$$ Keep the same denominator `=` $$\frac{16\div\color{#CC0000}{4}}{20\div\color{#CC0000}{4}}$$ Simplify the fraction `=` $$\frac{4}{5}$$ `4/5`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`3/4+1/20` `=` `☐/(4times20)` `=` `☐/80` To get the numerator, cross multiply the given addition problem and add the products.$$\frac{\color{#00880A}{3}}{\color{#9a00c7}{4}}+\frac{\color{#9a00c7}{1}}{\color{#00880A}{20}}$$ `=` $$\frac{(\color{#00880A}{3\times20})+(\color{#9a00c7}{4\times1})}{80}$$ `=` `(60+4)/80` `=` `64/80` Simplify the fraction`64/80` `=` $$\frac{64\div\color{#CC0000}{8}}{80\div\color{#CC0000}{8}}$$ Both `64` and `80` are divisible by `8` `=` `8/10` `=` $$\frac{8\div\color{#CC0000}{2}}{10\div\color{#CC0000}{2}}$$ Both `8` and `10` are divisible by `2` `=` `4/5` `4/5` -
Question 4 of 4
4. Question
Add the following`2/5+1/4`Write the fraction in the format “a/b”- (13/20)
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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 `5` and `4`Multiples of `5`:$$5\;\;10\;\;15\;\;\color{#004ec4}{20}\;\;25\;\;30$$Multiples of `4`:$$4\;\;8\;\;12\;\;16\;\;\color{#004ec4}{20}\;\;24$$The `LCD` of `5` and `4` is `20`Use the `LCD` as the denominator for both fractions then proceed with adding.`2/5+1/4` `=` $$\frac{2\times\color{#CC0000}{4}}{5\times\color{#CC0000}{4}}+\frac{1\times\color{#CC0000}{5}}{4\times\color{#CC0000}{5}}$$ Multiply each fraction so that their denominator becomes `20` `=` $$\frac{8}{\color{#004ec4}{20}}+\frac{5}{\color{#004ec4}{20}}$$ Add the numerators `=` $$\frac{13}{20}$$ Keep the same denominator `13/20`Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.`2/5+1/4` `=` `☐/(5times4)` `=` `☐/20` To get the numerator, cross multiply the given addition problem and add the products.$$\frac{\color{#00880A}{2}}{\color{#9a00c7}{5}}+\frac{\color{#9a00c7}{1}}{\color{#00880A}{4}}$$ `=` $$\frac{(\color{#00880A}{2\times4})+(\color{#9a00c7}{5\times1})}{20}$$ `=` `(8+5)/20` `=` `13/20` `13/20`
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