Question

Subtract 2-3/4-1 1/10=​

Answer 1

3/20

Explanation:

`2-(3)/(4)-1(1)/(10)=x\\x=2-(3)/(4)-(11)/(10)\\\mathrm{Convert\:element\:to\:fraction}:\quad \:2=(2)/(1)\\x=(2)/(1)-(3)/(4)-(11)/(10)\\1,\:4,\:10\\\mathrm{Prime\:factorization\:of\:} ;\\1=1\\4=2* \:2\\10=2\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:2* \:2* \:5=20\\Adjust\: fractions\: based\: on\: their\: LCM ;\\(2)/(1)=(2* \:20)/(1* \:20)=(40)/(20)\\\\(3)/(4)=(3* \:5)/(4* \:5)=(15)/(20)\\`

`(11)/(10)=(11* \:2)/(10* \:2)=(22)/(20)\\\mathrm{Since\:the\:denominators\:are\:equal,\\\:combine\:the\:fractions}:\\\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\\\\mathrm{Subtract\:the\:numbers:}\:40-15-22=3\\\\x=(3)/(20)`

Answer 2

23/20

Step by step Explanation