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Mixed and Improper Fractions 1Mixed and Improper Fractions 1
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Question 1 of 3
1. Question
Convert this fraction to an improper fraction`1 3/4`Write fractions in the format “a/b”- (7/4)
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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$$\color{#00880A}{1}\frac{\color{#007DDC}{3}}{\color{#9a00c7}{4}}$$ `=` $$\frac{(\color{#9a00c7}{4}\times\color{#00880A}{1})+\color{#007DDC}{3}}{\color{#9a00c7}{4}}$$ `=` $$\frac{4+3}{4}$$ `=` $$\frac{7}{4}$$ `7/4` -
Question 2 of 3
2. Question
Convert this fraction to an improper fraction`6 2/3`Write fractions in the format “a/b”- (20/3)
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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$$\color{#00880A}{6}\frac{\color{#007DDC}{2}}{\color{#9a00c7}{3}}$$ `=` $$\frac{(\color{#9a00c7}{3}\times\color{#00880A}{6})+\color{#007DDC}{2}}{\color{#9a00c7}{3}}$$ `=` $$\frac{18+2}{3}$$ `=` $$\frac{20}{3}$$ `20/3` -
Question 3 of 3
3. Question
Convert this fraction to a mixed fraction`19/5`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
`5` goes into `19` three times. So write `3` above the line.
Multiply `3` to `5` and write the answer below `19`
Subtract `15` from `19` and write the answer one line below
Since `5` cannot go into `4` anymore, `4` is left as the Remainder and `3` is the QuotientSubstitute values into the given formula$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ `=` $$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$ $$\frac{\color{#007DDC}{19}}{\color{#9a00c7}{5}}$$ `=` $$\color{#00880A}{3}\frac{\color{#e65021}{4}}{\color{#9a00c7}{5}}$$ `3 4/5`
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