Issolvi x/2y^2+y/3x^2/frac{1{6xy}+2/x^2y}

$$\frac { \frac { x } { 2 y ^ { 2 } } + \frac { y } { 3 x ^ { 2 } } } { \frac { 1 } { 6 x y } + \frac { 2 } { x ^ { 2 } y } }$$

Evalwa

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 2y^{2} u 3x^{2} huwa 6x^{2}y^{2}. Immultiplika \frac{x}{2y^{2}} b'\frac{3x^{2}}{3x^{2}}. Immultiplika \frac{y}{3x^{2}} b'\frac{2y^{2}}{2y^{2}}.

$$\frac{\frac{x\times 3x^{2}}{6x^{2}y^{2}}+\frac{y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Billi \frac{x\times 3x^{2}}{6x^{2}y^{2}} u \frac{y\times 2y^{2}}{6x^{2}y^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{x\times 3x^{2}+y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Agħmel il-multiplikazzjonijiet fi x\times 3x^{2}+y\times 2y^{2}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 6xy u x^{2}y huwa 6yx^{2}. Immultiplika \frac{1}{6xy} b'\frac{x}{x}. Immultiplika \frac{2}{x^{2}y} b'\frac{6}{6}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x}{6yx^{2}}+\frac{2\times 6}{6yx^{2}}}$$

Billi \frac{x}{6yx^{2}} u \frac{2\times 6}{6yx^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+2\times 6}{6yx^{2}}}$$

Agħmel il-multiplikazzjonijiet fi x+2\times 6.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+12}{6yx^{2}}}$$

Iddividi \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} b'\frac{x+12}{6yx^{2}} billi timmultiplika \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} bir-reċiproku ta' \frac{x+12}{6yx^{2}}.

$$\frac{\left(3x^{3}+2y^{3}\right)\times 6yx^{2}}{6x^{2}y^{2}\left(x+12\right)}$$

Annulla 6yx^{2} fin-numeratur u d-denominatur.

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Uża l-propjetà distributtiva biex timmultiplika y b'x+12.

$$\frac{3x^{3}+2y^{3}}{yx+12y}$$

Espandi

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 2y^{2} u 3x^{2} huwa 6x^{2}y^{2}. Immultiplika \frac{x}{2y^{2}} b'\frac{3x^{2}}{3x^{2}}. Immultiplika \frac{y}{3x^{2}} b'\frac{2y^{2}}{2y^{2}}.

$$\frac{\frac{x\times 3x^{2}}{6x^{2}y^{2}}+\frac{y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Billi \frac{x\times 3x^{2}}{6x^{2}y^{2}} u \frac{y\times 2y^{2}}{6x^{2}y^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{x\times 3x^{2}+y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Agħmel il-multiplikazzjonijiet fi x\times 3x^{2}+y\times 2y^{2}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 6xy u x^{2}y huwa 6yx^{2}. Immultiplika \frac{1}{6xy} b'\frac{x}{x}. Immultiplika \frac{2}{x^{2}y} b'\frac{6}{6}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x}{6yx^{2}}+\frac{2\times 6}{6yx^{2}}}$$

Billi \frac{x}{6yx^{2}} u \frac{2\times 6}{6yx^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+2\times 6}{6yx^{2}}}$$

Agħmel il-multiplikazzjonijiet fi x+2\times 6.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+12}{6yx^{2}}}$$

Iddividi \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} b'\frac{x+12}{6yx^{2}} billi timmultiplika \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} bir-reċiproku ta' \frac{x+12}{6yx^{2}}.

$$\frac{\left(3x^{3}+2y^{3}\right)\times 6yx^{2}}{6x^{2}y^{2}\left(x+12\right)}$$

Annulla 6yx^{2} fin-numeratur u d-denominatur.

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Uża l-propjetà distributtiva biex timmultiplika y b'x+12.

$$\frac{3x^{3}+2y^{3}}{yx+12y}$$