Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

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

[ B-6681 - op net sinds 8.3.2017-(E)-3.11.2023 ]

Translation in E N G L I S H

See above

Oplossing - Solution

$\frac{\frac1a-\frac1b}{\frac1a+\frac1b}=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}= \frac{b-a}{ab}\cdot \frac{ab}{b+a}=\frac{b-a}{b+a}=\frac{b-a}{a+b}$