Equivalent fractions

Are these two fractions equivalent -4/9 and 11/15?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} {\displaystyle \frac{a}{b}}={\displaystyle \frac{c}{d}} \\ ad=cb \\ {x}_1=-4\cdot 15=-60 \\ {x}_2=11\cdot 9=99 \\ {x}_1\mathrm{\ne }{x}_2 \\ x=0 \\ \text{ Verifying Solution: } \\ {f}_1=-{\displaystyle \frac{4}{9}}=-{\displaystyle \frac{4}{9}}\doteq -0.4444 \\ {f}_2={\displaystyle \frac{11}{15}}\doteq 0.7333 \\ {f}_2>f_1 \end{gathered}$$

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John2010

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2 months ago  Like

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