Issolvi (a/b+2a/3b)div(3x/8divx/9+frac{1}{4})

$$( \frac { a } { b } + \frac { 2 a } { 3 b } ) \div ( \frac { 3 x } { 8 } \div \frac { x } { 9 } + \frac { 1 } { 4 } )$$

Evalwa

$$\frac{40a}{87b}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{\frac{3a}{3b}+\frac{2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Billi \frac{3a}{3b} u \frac{2a}{3b} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{3a+2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Ikkombina termini simili f'3a+2a.

$$\frac{\frac{5a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Iddividi \frac{3x}{8} b'\frac{x}{9} billi timmultiplika \frac{3x}{8} bir-reċiproku ta' \frac{x}{9}.

$$\frac{\frac{5a}{3b}}{\frac{3x\times 9}{8x}+\frac{1}{4}}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{\frac{5a}{3b}}{\frac{3\times 9}{8}+\frac{1}{4}}$$

Immultiplika 3 u 9 biex tikseb 27.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{1}{4}}$$

L-inqas multipli komuni ta' 8 u 4 huwa 8. Ikkonverti \frac{27}{8} u \frac{1}{4} fi frazzjonijiet bid-denominatur 8.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{2}{8}}$$

Billi \frac{27}{8} u \frac{2}{8} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{5a}{3b}}{\frac{27+2}{8}}$$

Żid 27 u 2 biex tikseb 29.

$$\frac{\frac{5a}{3b}}{\frac{29}{8}}$$

Iddividi \frac{5a}{3b} b'\frac{29}{8} billi timmultiplika \frac{5a}{3b} bir-reċiproku ta' \frac{29}{8}.

$$\frac{5a\times 8}{3b\times 29}$$

Immultiplika 5 u 8 biex tikseb 40.

$$\frac{40a}{3b\times 29}$$

Immultiplika 3 u 29 biex tikseb 87.

$$\frac{40a}{87b}$$

Espandi

$$\frac{40a}{87b}$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{\frac{3a}{3b}+\frac{2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Billi \frac{3a}{3b} u \frac{2a}{3b} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{3a+2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Ikkombina termini simili f'3a+2a.

$$\frac{\frac{5a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Iddividi \frac{3x}{8} b'\frac{x}{9} billi timmultiplika \frac{3x}{8} bir-reċiproku ta' \frac{x}{9}.

$$\frac{\frac{5a}{3b}}{\frac{3x\times 9}{8x}+\frac{1}{4}}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{\frac{5a}{3b}}{\frac{3\times 9}{8}+\frac{1}{4}}$$

Immultiplika 3 u 9 biex tikseb 27.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{1}{4}}$$

L-inqas multipli komuni ta' 8 u 4 huwa 8. Ikkonverti \frac{27}{8} u \frac{1}{4} fi frazzjonijiet bid-denominatur 8.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{2}{8}}$$

Billi \frac{27}{8} u \frac{2}{8} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{5a}{3b}}{\frac{27+2}{8}}$$

Żid 27 u 2 biex tikseb 29.

$$\frac{\frac{5a}{3b}}{\frac{29}{8}}$$

Iddividi \frac{5a}{3b} b'\frac{29}{8} billi timmultiplika \frac{5a}{3b} bir-reċiproku ta' \frac{29}{8}.

$$\frac{5a\times 8}{3b\times 29}$$

Immultiplika 5 u 8 biex tikseb 40.

$$\frac{40a}{3b\times 29}$$

Immultiplika 3 u 29 biex tikseb 87.

$$\frac{40a}{87b}$$