Issolvi (1/y-1/x+y):x/y

$$( \frac { 1 } { y } - \frac { 1 } { x + y } ) : \frac { x } { y }$$

Evalwa

$$\frac{1}{x+y}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y u x+y huwa y\left(x+y\right). Immultiplika \frac{1}{y} b'\frac{x+y}{x+y}. Immultiplika \frac{1}{x+y} b'\frac{y}{y}.

$$\frac{\frac{x+y}{y\left(x+y\right)}-\frac{y}{y\left(x+y\right)}}{\frac{x}{y}}$$

Billi \frac{x+y}{y\left(x+y\right)} u \frac{y}{y\left(x+y\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{x+y-y}{y\left(x+y\right)}}{\frac{x}{y}}$$

Ikkombina termini simili f'x+y-y.

$$\frac{\frac{x}{y\left(x+y\right)}}{\frac{x}{y}}$$

Iddividi \frac{x}{y\left(x+y\right)} b'\frac{x}{y} billi timmultiplika \frac{x}{y\left(x+y\right)} bir-reċiproku ta' \frac{x}{y}.

$$\frac{xy}{y\left(x+y\right)x}$$

Annulla xy fin-numeratur u d-denominatur.

$$\frac{1}{x+y}$$

Espandi

$$\frac{1}{x+y}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y u x+y huwa y\left(x+y\right). Immultiplika \frac{1}{y} b'\frac{x+y}{x+y}. Immultiplika \frac{1}{x+y} b'\frac{y}{y}.

$$\frac{\frac{x+y}{y\left(x+y\right)}-\frac{y}{y\left(x+y\right)}}{\frac{x}{y}}$$

Billi \frac{x+y}{y\left(x+y\right)} u \frac{y}{y\left(x+y\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{x+y-y}{y\left(x+y\right)}}{\frac{x}{y}}$$

Ikkombina termini simili f'x+y-y.

$$\frac{\frac{x}{y\left(x+y\right)}}{\frac{x}{y}}$$

Iddividi \frac{x}{y\left(x+y\right)} b'\frac{x}{y} billi timmultiplika \frac{x}{y\left(x+y\right)} bir-reċiproku ta' \frac{x}{y}.

$$\frac{xy}{y\left(x+y\right)x}$$

Annulla xy fin-numeratur u d-denominatur.

$$\frac{1}{x+y}$$