Issolvi (5p/2q)(p/3)+p^2/8q/4p+frac{p{12}}

$$\frac { ( \frac { 5 p } { 2 q } ) ( \frac { p } { 3 } ) + \frac { p ^ { 2 } } { 8 q } } { 4 p + \frac { p } { 12 } }$$

Evalwa

$$\frac{23p}{98q}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{5p}{2q} b'\frac{p}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{5pp}{2q\times 3}+\frac{p^{2}}{8q}}{4p+\frac{p}{12}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 2q\times 3 u 8q huwa 24q. Immultiplika \frac{5pp}{2q\times 3} b'\frac{4}{4}. Immultiplika \frac{p^{2}}{8q} b'\frac{3}{3}.

$$\frac{\frac{4\times 5pp}{24q}+\frac{3p^{2}}{24q}}{4p+\frac{p}{12}}$$

Billi \frac{4\times 5pp}{24q} u \frac{3p^{2}}{24q} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{4\times 5pp+3p^{2}}{24q}}{4p+\frac{p}{12}}$$

Agħmel il-multiplikazzjonijiet fi 4\times 5pp+3p^{2}.

$$\frac{\frac{20p^{2}+3p^{2}}{24q}}{4p+\frac{p}{12}}$$

Ikkombina termini simili f'20p^{2}+3p^{2}.

$$\frac{\frac{23p^{2}}{24q}}{4p+\frac{p}{12}}$$

Ikkombina 4p u \frac{p}{12} biex tikseb \frac{49}{12}p.

$$\frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p}$$

Esprimi \frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p} bħala frazzjoni waħda.

$$\frac{23p^{2}}{24q\times \frac{49}{12}p}$$

Annulla p fin-numeratur u d-denominatur.

$$\frac{23p}{\frac{49}{12}\times 24q}$$

Immultiplika \frac{49}{12} u 24 biex tikseb 98.

$$\frac{23p}{98q}$$

Espandi

$$\frac{23p}{98q}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{5p}{2q} b'\frac{p}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{5pp}{2q\times 3}+\frac{p^{2}}{8q}}{4p+\frac{p}{12}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 2q\times 3 u 8q huwa 24q. Immultiplika \frac{5pp}{2q\times 3} b'\frac{4}{4}. Immultiplika \frac{p^{2}}{8q} b'\frac{3}{3}.

$$\frac{\frac{4\times 5pp}{24q}+\frac{3p^{2}}{24q}}{4p+\frac{p}{12}}$$

Billi \frac{4\times 5pp}{24q} u \frac{3p^{2}}{24q} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{4\times 5pp+3p^{2}}{24q}}{4p+\frac{p}{12}}$$

Agħmel il-multiplikazzjonijiet fi 4\times 5pp+3p^{2}.

$$\frac{\frac{20p^{2}+3p^{2}}{24q}}{4p+\frac{p}{12}}$$

Ikkombina termini simili f'20p^{2}+3p^{2}.

$$\frac{\frac{23p^{2}}{24q}}{4p+\frac{p}{12}}$$

Ikkombina 4p u \frac{p}{12} biex tikseb \frac{49}{12}p.

$$\frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p}$$

Esprimi \frac{\frac{23p^{2}}{24q}}{\frac{49}{12}p} bħala frazzjoni waħda.

$$\frac{23p^{2}}{24q\times \frac{49}{12}p}$$

Annulla p fin-numeratur u d-denominatur.

$$\frac{23p}{\frac{49}{12}\times 24q}$$

Immultiplika \frac{49}{12} u 24 biex tikseb 98.

$$\frac{23p}{98q}$$