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Multiply and Divide Mixed Numbers>
Multiply and Divide Mixed Numbers 4Multiply and Divide Mixed Numbers 4
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Question 1 of 4
1. Question
Multiply the following:`10xx6 3/5`- (66)
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Transforming a Fraction from Mixed to Improper
`=` $$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ First, convert the mixed number into improper formMultiply the denominator by the whole number and then add it to the numerator$$10\times\color{#00880A}{6}\frac{\color{#007DDC}{3}}{\color{#9a00c7}{5}}$$ `=` $$\frac{10}{1}\times\frac{(\color{#9a00c7}{5}\times\color{#00880A}{6})+\color{#007DDC}{3}}{\color{#9a00c7}{5}}$$ `=` `10/1xx(30+3)/5` `=` `10/1 xx 33/5` Proceed with multiplying the fractions and then simplify.`10/1 xx 33/5` `=` $$\frac{10\div\color{#CC0000}{5}}{1} \times \frac{33}{5\div\color{#CC0000}{5}}$$ `10` and `5` are multiples of `5` `=` `2/1xx33/1` `=` `66/1` `=` `66` `66` -
Question 2 of 4
2. Question
Divide the following:`4 1/2-:1/2`- (9)
Hint
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Incorrect
Transforming a Fraction from Mixed to Improper
`=` $$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ To divide fractions, flip the divisor and then multiply as normalFirst, convert the mixed numbers into improper formMultiply the denominator by the whole number and then add it to the numerator$$\color{#00880A}{4}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{2}}\div\frac{1}{2}$$ `=` $$\frac{(\color{#9a00c7}{2}\times\color{#00880A}{4})+\color{#007DDC}{1}}{\color{#9a00c7}{2}} \div \frac{1}{2}$$ `=` `(8+1)/2 -: 1/2` `=` `9/2 -: 1/2` First, get the reciprocal (flip) of the divisor`1/2` becomes `2/1` Proceed with multiplying this to the dividend.`9/2-:``1/2` `=` `9/2xx``2/1` `=` `18/2` `=` `18-:2` `=` `9` `9` -
Question 3 of 4
3. Question
Multiply the following:`3xx2 1/2xx1 1/3`- (10)
Hint
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Incorrect
Transforming a Fraction from Mixed to Improper
`=` $$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ First, convert the mixed number into improper formMultiply the denominator by the whole number and then add it to the numerator$$3\times\color{#00880A}{2}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{2}}\times\color{#00880A}{1}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{3}}$$ `=` $$\frac{3}{1}\times\frac{(\color{#9a00c7}{2}\times\color{#00880A}{2})+\color{#007DDC}{1}}{\color{#9a00c7}{2}}\times\frac{(\color{#9a00c7}{3}\times\color{#00880A}{1})+\color{#007DDC}{1}}{\color{#9a00c7}{3}}$$ `=` `3/1xx(4+1)/2xx(3+1)/3` `=` `3/1xx5/2 xx 4/3` Proceed with multiplying the fractions and then simplify.`3/1xx5/2 xx 4/3` `=` `60/6` `=` `60-:6` `=` `10` `10` -
Question 4 of 4
4. Question
Divide the following:`1 1/3-:2 3/4`Write fractions in the format “a/b”- (16/33)
Hint
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Incorrect
Transforming a Fraction from Mixed to Improper
`=` $$\frac{(\color{#9a00c7}{c}\times\color{#00880A}{A})+\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ To divide fractions, flip the divisor and then multiply as normalFirst, convert the mixed numbers into improper formMultiply the denominator by the whole number and then add it to the numerator$$\color{#00880A}{1}\frac{\color{#007DDC}{1}}{\color{#9a00c7}{3}}\div\color{#00880A}{2}\frac{\color{#007DDC}{3}}{\color{#9a00c7}{4}}$$ `=` $$\frac{(\color{#9a00c7}{3}\times\color{#00880A}{1})+\color{#007DDC}{1}}{\color{#9a00c7}{3}} \div \frac{(\color{#9a00c7}{4}\times\color{#00880A}{2})+\color{#007DDC}{3}}{\color{#9a00c7}{4}}$$ `=` `(3+1)/3 -: (8+3)/4` `=` `4/3 -: 11/4` Now, get the reciprocal (flip) of the divisor`11/4` becomes `4/11` Proceed with multiplying this to the dividend.`4/3 -:``11/4` `=` `4/3xx``4/11` `=` `16/33` `16/33`
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