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Multiply and Divide Fractions>
Multiply and Divide Fractions 1Multiply and Divide Fractions 1
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Question 1 of 3
1. Question
Multiply the following:`2/3xx3/4`Write fractions in the format “a/b”- (1/2)
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To multiply fractions, simply multiply the numerators and denominators separately.Multiply the fraction and then simplify`2/3xx3/4` `=` `(2xx3)/(3xx4)` `=` `6/12` `=` $$\frac{6\div\color{#CC0000}{6}}{12\div\color{#CC0000}{6}}$$ Reduce to lowest terms `=` `1/2` `1/2` -
Question 2 of 3
2. Question
Multiply the following:`3/4xx5`Hint
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To multiply fractions, simply multiply the numerators and denominators separately.Transforming an Improper to Mixed Fraction
$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}=\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$`(``b``-:``c``)=``Q` and `R` is the remainderMultiply the fraction and then simplify`3/4xx5` `=` `3/4xx5/1` A whole number can be a fraction with `1` as the denominator `=` `(3xx5)/(4xx1)` `=` `15/4` Now, convert the fraction from improper to mixedStart by dividing the numerator by the denominatorArrange the numbers for long division
`4` goes into `15` three times. So write `3` above the line.
Multiply `3` to `4` and write the answer below `15`
Subtract `12` from `15` and write the answer one line below
Since `4` cannot go into `3` anymore, `3` is left as the Remainder and `3` is the QuotientSubstitute values into the given formula$$\frac{\color{#007DDC}{b}}{\color{#9a00c7}{c}}$$ `=` $$\color{#00880A}{Q}\frac{\color{#e65021}{R}}{\color{#9a00c7}{c}}$$ $$\frac{\color{#007DDC}{15}}{\color{#9a00c7}{4}}$$ `=` $$\color{#00880A}{3}\frac{\color{#e65021}{3}}{\color{#9a00c7}{4}}$$ `3 3/4` -
Question 3 of 3
3. Question
Multiply the following:`3/4xx1/3xx1/5`Write fractions in the format “a/b”- (1/20)
Hint
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To multiply fractions, simply multiply the numerators and denominators separately.Multiply the fraction and then simplify`3/4xx1/3xx1/5` `=` `(3xx1xx1)/(4xx3xx5)` `=` `3/60` `=` $$\frac{3\div\color{#CC0000}{3}}{60\div\color{#CC0000}{3}}$$ Simplify the fraction `=` `1/20` `1/20`
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