Question

Please solve this for me

Answer 1

`-(2)/(15)`

Explanation:

`(2-\left|-(2)/(3)-2\left(-(1)/(5)\right)\right|)/(-13)`

`\mathrm{Apply\:rule}:\quad \:-a\left(-b\right)=ab`

`-2\left(-(1)/(5)\right)=2\cdot (1)/(5)`

`=(2-\left|-(2)/(3)+2\cdot (1)/(5)\right|)/(-13)`

`-(2)/(3)+2*(1)/(5)=-(4)/(15)`

`=(2-\left|-(4)/(15)\right|)/(-13)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(-b)=-(a)/(b)`

`=-(2-\left|-(4)/(15)\right|)/(13)`

`Simplify\;2-|-(4)/(15)|:(26)/(15)`

`=-((26)/(15))/(13)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad ((a)/(b))/(c)=(a)/(b\cdot \:c)`

`((26)/(15))/(13)=(26)/(15\cdot \:13)`

`=-(26)/(15\cdot \:13)`

`\mathrm{Multiply\:the\:numbers:}\:15\cdot \:13=195`

`=-(26)/(195)`

`Cancel-(26)/(195):-(2)/(15)`

Answer = -2/15

[RevyBreeze]