Years
>
Year 10>
Fractions>
Fraction Word Problems: Addition and Subtraction>
Fraction Word Problems: Addition and Subtraction 1Fraction Word Problems: Addition and Subtraction 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
Three people share a sum of money. The `1`st person receives `2/5` of the sum and the `2`nd person receives `1/2`. What fraction of the money does the `3`rd person receive?Write fractions in the format “a/b”- (1/10)
Hint
Help VideoCorrect
Well Done!
Incorrect
Add fractions with unlike denominators by transforming the fractions so that they have like denominatorsFirst, list down the values stated in the problem`1`st person `=` `2/5` `2`nd person `=` `1/2` Use cross method to add the two fractions.First, multiply the two denominators. Use the product as a denominator for a new fraction.`2/5``+``1/2` `=` `☐/(5times2)` `=` `☐/10` To get the numerator, cross multiply the given addition problem and add the products.$$\frac{\color{#00880A}{2}}{\color{#9a00c7}{5}}+\frac{\color{#9a00c7}{1}}{\color{#00880A}{2}}$$ `=` $$\frac{(\color{#00880A}{2\times2})+(\color{#9a00c7}{5\times1})}{10}$$ `=` `(4+5)/10` `=` `9/10` Finally, subtract this fraction from `1`. `1` represents the whole sum of money`1-9/10` `=` `10/10-9/10` Subtract the numerators `=` `1/10` Keep the same denominator The `3`rd person gets `1/10` of the money.`1/10` -
Question 2 of 4
2. Question
A rain tank is three fifths full. Heavy rain over a period of `3` nights filled it with one tenths of water each night. What fraction of the tank’s capacity is filled after the `3` nights of rainfall?Write fractions in the format “a/b”- (9/10)
Hint
Help VideoCorrect
Great Work!
Incorrect
Add fractions with unlike denominators by transforming the fractions so that they have like denominatorsFirst, list down the values stated in the problemStarting amount of water `=` `3/5` Additional amount of water `=` `3times1/10=3/1times1/10=``3/10` Add the two values to get the total amount of water after 3 daysSince `10` is a multiple of `5`, it is the `LCD` of `5` and `10``3/5``+``3/10` `=` $$\frac{3\color{#CC0000}{\times2}}{5\color{#CC0000}{\times2}}+\frac{3}{10}$$ Multiply `2` to `5` so it becomes `10` `=` `6/10+3/10` `=` `9/10` Keep the same denominator `9/10` -
Question 3 of 4
3. Question
A concrete truck contains a concrete mixture that consists of `1/4` cement, `1/3` sand, `1/6` water and the rest is gravel. What fraction of the mixture is gravel?Write fractions in the format “a/b”- (1/4)
Hint
Help VideoCorrect
Fantastic!
Incorrect
Add fractions with unlike denominators by transforming the fractions so that they have like denominatorsFirst, list down the values stated in the problemCement `=` `1/4` Sand `=` `1/3` Water `=` `1/6` Add the three fractions.Start by finding the `LCD` of the `4`, `3` and `6`Multiples of `4`:$$4\;\;8\;\;\color{#004ec4}{12}\;\;16\;\;20$$Multiples of `3`:$$3\;\;6\;\;9\;\;\color{#004ec4}{12}\;\;15\;\;18$$Multiples of `6`:$$6\;\;\color{#004ec4}{12}\;\;18\;\;24$$The `LCD` of `4`, `3` and `6` is `12`Use the `LCD` as the denominator for the three fractions then add them.`1/4``+``1/3``+``1/6` `=` $$\frac{1\times\color{#CC0000}{3}}{4\times\color{#CC0000}{3}}+\frac{1\times\color{#CC0000}{4}}{4\times\color{#CC0000}{4}}+\frac{1\times\color{#CC0000}{2}}{6\times\color{#CC0000}{2}}$$ Multiply the fractions so that the denominator becomes `12` `=` $$\frac{3}{\color{#004ec4}{12}}+\frac{4}{\color{#004ec4}{12}}+\frac{2}{\color{#004ec4}{12}}$$ Add only the numerators `=` $$\frac{9}{12}$$ Keep the same denominator `=` $$\frac{9\div\color{#CC0000}{3}}{12\div\color{#CC0000}{3}}$$ Express in lowest terms `=` $$\frac{3}{4}$$ Finally, subtract this fraction from `1`. Here, `1` represents the whole mixture`1-3/4` `=` `4/4-3/4` Subtract the numerators `=` `1/4` Keep the same denominator `1/4` of the concrete mixture is gravel.`1/4` -
Question 4 of 4
4. Question
Eddie ordered `2` pizzas, each sliced in `8` pieces. He ate `5` pieces. Find the following:Write fractions in the format “a/b”-
`(i)` Fraction that Eddie ate: (5/16)`(ii)` Fraction of remaining pizza: (11/16)
Hint
Help VideoCorrect
Great Work!
Incorrect
`(i)` Find the fraction of pizza that Eddie ate.First, list down the values stated in the problemSlices Eddie ate `=` `5` Total slices of pizza `=` `2` pizzas`xx8` slices`=``16` Since we are looking for the fraction that Eddie ate, the numerator must be the no. of slices he ate while the denominator must be the total no. of slices$$\mathsf{\frac{\color{#9E8600}{no.\;of\;slices\;he\;ate}}{\color{#007DDC}{total\;no.\;of\;slices}}}$$ `=` $$\frac{\color{#9E8600}{5}}{\color{#007DDC}{16}}$$ Eddie ate `5/16` of the pizza he ordered.`(ii)` Find the fraction of pizza that remains.Simply subtract the fraction that Eddie ate from `1`. Here, `1` represents the total pizza that he ordered.`1-5/16` `=` `16/16-5/16` Subtract the numerators `=` `11/16` Keep the same denominator `11/16` of the pizza Eddie ordered remains.`(i) 5/16``(ii) 11/16` -
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