Question

Solve.


7 1/2 divided (4 1/2-5 1/8)=.

Answer 1

-12 will be your answer

Explanation:

Answer 2

`=-12`

Explanation:

`(7(1)/(2))/(4(1)/(2)-5(1)/(8))\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 7(1)/(2)=(15)/(2)\\((15)/(2))/(4(1)/(2)-5(1)/(8))\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4(1)/(2)=(9)/(2)\\((15)/(2))/((9)/(2)-5(1)/(8))\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5(1)/(8)=(41)/(8)\\((15)/(2))/((9)/(2)-(41)/(8))`

`\mathrm{Apply\:the\:fraction\:rule}:\quad ((b)/(c))/(a)=(b)/(c\:\cdot \:a)\\=(15)/(2\left((9)/(2)-(41)/(8)\right))\\\mathrm{Join}\:(9)/(2)-(41)/(8):\quad -(5)/(8)\\=(15)/(2\left(-(5)/(8)\right))\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=(15)/(-2\cdot (5)/(8))\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(-b)=-(a)/(b)\\=-(15)/(2\cdot (5)/(8))\\\mathrm{Multiply\:}2\cdot (5)/(8)\::\quad (5)/(4)`

`=-(15)/((5)/(4))\\\mathrm{Simplify}\:(15)/((5)/(4)):\quad (60)/(5)\\\mathrm{Divide\:the\:numbers:}\:(60)/(5)=12\\=-12`