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  • Insert a rational number between 4/5 and 5/9 and arrange in ascending order.

Insert a rational number between 4/5 and 5/9 and arrange in ascending order.

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The L.C.M. of 5 and 9 is 45.|
herefore frac45=frac4 imes95 imes9=frac3645,frac59=frac5 imes59 imes5=frac2545

Since 25<36,frac2545<frac3645Rightarrow frac59<frac45

A rational number between frac59, and, frac45=fracfrac59+frac452=fracfrac25+36452=frac6145 imesfrac12=frac6190

And the number in ascending order are frac59,frac6190,frac45

Posted by

Deependra Verma

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