Fill in the boxes:

            (i)     \frac{5}{4}=\frac{\square }{16}=\frac{25}{\square }=\frac{-15}{\square }                     (ii)     \frac{-3}{7}=\frac{\square }{14}=\frac{9}{\square }=\frac{-6}{\square }

Answers (1)

(i) \frac{5}{4}=\frac{\square }{16}=\frac{25}{\square }=\frac{-15}{\square }

\frac{5}{4}  can be written as:

\Rightarrow \frac{5}{4} = \frac{5\times4}{4\times4} = \frac{20}{16}       

\Rightarrow \frac{5}{4} = \frac{5\times5}{4\times5} = \frac{25}{20}

\Rightarrow \frac{5}{4} = \frac{5\times-3}{4\times-3} = \frac{-15}{-12}

Hence, we have

\frac{5}{4}=\frac{20 }{16}=\frac{25}{20 }=\frac{-15}{-12 }

 

(ii) \frac{-3}{7}=\frac{\square }{14}=\frac{9}{\square }=\frac{-6}{\square }

\frac{-3}{7}  can be written as:

\Rightarrow \frac{-3}{7} = \frac{-3\times2}{7\times2} = \frac{-6}{14}       

\Rightarrow \frac{-3}{7} = \frac{-3\times-3}{7\times-3} = \frac{9}{-21}

\Rightarrow \frac{-3}{7} = \frac{-3\times2}{7\times2} = \frac{-6}{14}

Hence, we have

\frac{-3}{7}=\frac{-6 }{14}=\frac{9}{-21}=\frac{-6}{14 }

 

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