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Let x=0.666...
=0.666...×10=x×10
=6.666...=10x
=6.666...-0.666...=10x-x
=6.000=9x
=6÷9=x
Let y=0.777...
=0.777...×10=y×10
=7.777...=10y
=7.777...-0.777...=10y-y
=7=9y
=7÷9=y
Let z=0.4777...
=z×10=0.4777...×10
=10z=4.777...
=10z×10=4.777...×10
=100z=47.777...
=100z-10z=47.777...-4.777...
=90z=43
=z=43÷90
=z=4.3÷9
=0.666...+0.777...+0.4777...=6÷9+7÷9+4.3÷9
=(6+7+4.3)÷9
=17.3÷9
=173÷90Ans
=0.666...×10=x×10
=6.666...=10x
=6.666...-0.666...=10x-x
=6.000=9x
=6÷9=x
Let y=0.777...
=0.777...×10=y×10
=7.777...=10y
=7.777...-0.777...=10y-y
=7=9y
=7÷9=y
Let z=0.4777...
=z×10=0.4777...×10
=10z=4.777...
=10z×10=4.777...×10
=100z=47.777...
=100z-10z=47.777...-4.777...
=90z=43
=z=43÷90
=z=4.3÷9
=0.666...+0.777...+0.4777...=6÷9+7÷9+4.3÷9
=(6+7+4.3)÷9
=17.3÷9
=173÷90Ans
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