Question

The difference of two rational numbers is 6/25 if the Greater number is 4/9 what is the smaller number

Answer 1

Dear Student.

$$\begin{gathered} Letxandybetwonumbers,andx>y \\ Accordingtoquestion: \\ x-y=\frac{6}{25} \\ givenx=\frac{4}{9} \\ \frac{4}{9}-y=\frac{6}{25} \\ y=\frac{4}{9}-\frac{6}{25} \\ y=\frac{100-54}{225}=\frac{46}{225} \\ Hencesmallernumberis\frac{46}{225} \end{gathered}$$
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