Mixed and Improper Fractions 3
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Question 1 of 4
1. Question
Convert this fraction to an improper fraction`7 5/12`Write fractions in the format “a/b”- (89/12)
Hint
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Transforming a Fraction from Mixed to Improper
`=` $$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ An Improper Fraction is a fraction where the numerator is larger than the denominator.Multiply the denominator by the whole number and then add the numerator$$\color{#00880A}{7}\frac{\color{#007DDC}{5}}{\color{#9a00c7}{12}}$$ `=` $$\frac{(\color{#9a00c7}{12}\times\color{#00880A}{7})+\color{#007DDC}{5}}{\color{#9a00c7}{12}}$$ `=` $$\frac{84+5}{12}$$ `=` $$\frac{89}{12}$$ `89/12` -
Question 2 of 4
2. Question
Convert this fraction to a mixed fraction`41/9`Hint
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Transforming an Improper to Mixed Fraction
$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}=\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$where `Q` is the quotient of `(``b``-:``c``)` and `R` is the remainderA Mixed Number or Mixed Fraction consists of a whole number and a fraction.First, divide the numerator by the denominatorArrange the numbers for long division
`9` goes into `41` four times. So write `4` above the line.
Multiply `4` to `9` and write the answer below `41`
Subtract `36` from `41` and write the answer one line below
Since `9` cannot go into `5` anymore, `5` is left as the Remainder and `4` is the QuotientSubstitute values into the given formula$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ `=` $$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$ $$\frac{\color{#007DDC}{41}}{\color{#9a00c7}{9}}$$ `=` $$\color{#00880A}{4}\frac{\color{#e65021}{5}}{\color{#9a00c7}{9}}$$ `4 5/9` -
Question 3 of 4
3. Question
Convert this fraction to a mixed fraction`68/16`Hint
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Incorrect
Transforming an Improper to Mixed Fraction
$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}=\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$where `Q` is the quotient of `(``b``-:``c``)` and `R` is the remainderA Mixed Number or Mixed Fraction consists of a whole number and a fraction.First, divide the numerator by the denominatorArrange the numbers for long division
`16` goes into `68` four times. So write `4` above the line.
Multiply `4` to `16` and write the answer below `68`
Subtract `64` from `68` and write the answer one line below
Since `16` cannot go into `4` anymore, `4` is left as the Remainder and `4` is the QuotientSubstitute values into the given formula$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ `=` $$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$ $$\frac{\color{#007DDC}{68}}{\color{#9a00c7}{16}}$$ `=` $$\color{#00880A}{4}\frac{\color{#e65021}{4}}{\color{#9a00c7}{16}}$$ `=` $$4\frac{4\div\color{#CC0000}{4}}{16\div\color{#CC0000}{4}}$$ Simplify the fraction `=` `4 1/4` `4 1/4` -
Question 4 of 4
4. Question
Convert this fraction to a mixed fraction`25/10`Hint
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Incorrect
Transforming an Improper to Mixed Fraction
$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}=\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$where `Q` is the quotient of `(``b``-:``c``)` and `R` is the remainderA Mixed Number or Mixed Fraction consists of a whole number and a fraction.First, divide the numerator by the denominatorArrange the numbers for long division
`10` goes into `25` two times. So write `2` above the line.
Multiply `2` to `10` and write the answer below `25`
Subtract `20` from `25` and write the answer one line below
Since `10` cannot go into `5` anymore, `5` is left as the Remainder and `2` is the QuotientSubstitute values into the given formula$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ `=` $$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$ $$\frac{\color{#007DDC}{25}}{\color{#9a00c7}{10}}$$ `=` $$\color{#00880A}{2}\frac{\color{#e65021}{5}}{\color{#9a00c7}{10}}$$ `=` $$2\frac{5\div\color{#CC0000}{5}}{10\div\color{#CC0000}{5}}$$ Simplify the fraction `=` `2 1/2` `2 1/2`
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