Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\inline \large \dpi{120}a+\frac{a}{a-1}=$	A. $\boldsymbol{-\,\frac 1a }$
	B. $\boldsymbol{\frac {2a} {a\,-\,1} }$
	C. $\boldsymbol{\frac {1} {1\,-\,a} }$
	D. $\boldsymbol{\frac{a^2}{a\,-\,1} }$
	E. $\boldsymbol{a^2 }$
	F. $\boldsymbol{-\,a }$

[ 3-6066 - op net sinds 11.4.10-(E)-30.10.2023 ]

Translation in E N G L I S H

See above

Oplossing - Solution

$https://latex.codecogs.com/png.image?\inline \large \dpi{120}\large {\color{DarkGreen} a+\frac{a}{a-1}=\frac{a(a-1)}{a-1}+\frac{a}{a-1}=\frac{a(a-1)+a}{a-1}=\frac{a^2-a+a}{a-1}=\cdots }$

$https://latex.codecogs.com/png.image?\inline \large \dpi{120}a+\frac{a}{a-1}=$	A. \(\boldsymbol{-\,\frac 1a }\)
	B. \(\boldsymbol{\frac {2a} {a\,-\,1} }\)
	C. \(\boldsymbol{\frac {1} {1\,-\,a} }\)
	D. \(\boldsymbol{\frac{a^2}{a\,-\,1} }\)
	E. \(\boldsymbol{a^2 }\)
	F. \(\boldsymbol{-\,a }\)