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Fractii.(1supra12+1supra24-1supra36):(1supra4+3supra5)×2antregi3supra7​

1 Answer

6 votes

Answer:


\large\boxed{\large\boxed{(35)/(459)}}

Step-by-step explanation:

Fractions:


\bigg((1)/(12)+(1)/(24)-(1)/(36)\bigg):\bigg((1)/(4)+(3)/(5)\bigg)* (2)/(3)

1. Solve the first parenthesis:


(1)/(12)+(1)/(24)-(1)/(36)=(6+3-2)/(72)=(7)/(72)

2. Solve the second parenthesis:


(1)/(4)+(3)/(5)=(5+12)/(20)=(17)/(20)

3. Solve the division:


(7)/(72):(17)/(20)=(7)/(72)* (20)/(17)=\\ \\ \\ =(7* 20)/(72* 17)=(7* 5)/(18* 17)=(35)/(306)

4. Multiply by the last fraction:


(35)/(306)* (2)/(3)=(35)/(153* 3)=(35)/(459)

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