Find the Quantity of a Quantity 2
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Question 1 of 3
1. Question
What fraction is `360` centimetres of `9` metres?Write fractions in the format “a/b”- (2/5)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$First, make sure that the two quantities have the same units`360` centimetres of `9` metres `=` `360` cents of `900` centimetres Write the quantities as a fraction`360` centimetres of `900` metres `=` $$\frac{\color{#00880a}{360}}{\color{#9a00c7}{900}}$$ `=` $$\frac{360\div\color{#CC0000}{10}}{900\div\color{#CC0000}{10}}$$ Reduce to lowest terms `=` $$\frac{36\div\color{#CC0000}{9}}{90\div\color{#CC0000}{9}}$$ Reduce further `=` $$\frac{4\div\color{#CC0000}{2}}{10\div\color{#CC0000}{2}}$$ Reduce further `=` $$\frac{2}{5}$$ `2/5` -
Question 2 of 3
2. Question
What fraction is `200` seconds of `5` minutes?Write fractions in the format “a/b”- (2/3)
Hint
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$First, make sure that the two quantities have the same units`200` seconds of `5` minutes `=` `200` seconds of `300` seconds Write the quantities as a fraction`200` seconds of `300` seconds `=` $$\frac{\color{#00880a}{200}}{\color{#9a00c7}{300}}$$ `=` $$\frac{200\div\color{#CC0000}{100}}{300\div\color{#CC0000}{100}}$$ Reduce to lowest terms `=` $$\frac{2}{3}$$ `2/3` -
Question 3 of 3
3. Question
What fraction is `3` days of `3` weeks?Write fractions in the format “a/b”- (1/7)
Hint
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Nice Job!
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$First, make sure that the two quantities have the same units`3` days of `3` weeks `=` `3` days of `21` days Write the quantities as a fraction`3` days of `21` days `=` $$\frac{\color{#00880a}{3}}{\color{#9a00c7}{21}}$$ `=` $$\frac{3\div\color{#CC0000}{3}}{21\div\color{#CC0000}{3}}$$ Reduce to lowest terms `=` $$\frac{1}{7}$$ `1/7`
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