Issolvi 42/23/3frac{8{23}}-217/23+-17/23

$$\frac{ 4 \frac{ 2 }{ 23 } }{ 3 \frac{ 8 }{ 23 } } -2 \frac{ 17 }{ 23 } +-1 \frac{ 7 }{ 23 }$$

Evalwa

$$-\frac{4999}{1771}\approx -2.82269904$$

Passi tas-Soluzzjonijiet

Iddividi \frac{4\times 23+2}{23} b'\frac{3\times 23+8}{23} billi timmultiplika \frac{4\times 23+2}{23} bir-reċiproku ta' \frac{3\times 23+8}{23}.

$$\frac{\left(4\times 23+2\right)\times 23}{23\left(3\times 23+8\right)}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Annulla 23 fin-numeratur u d-denominatur.

$$\frac{2+4\times 23}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Immultiplika 4 u 23 biex tikseb 92.

$$\frac{2+92}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Żid 2 u 92 biex tikseb 94.

$$\frac{94}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Immultiplika 3 u 23 biex tikseb 69.

$$\frac{94}{8+69}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Żid 8 u 69 biex tikseb 77.

$$\frac{94}{77}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Immultiplika 2 u 23 biex tikseb 46.

$$\frac{94}{77}-\frac{46+17}{23}-\frac{1\times 23+7}{23}$$

Żid 46 u 17 biex tikseb 63.

$$\frac{94}{77}-\frac{63}{23}-\frac{1\times 23+7}{23}$$

L-inqas multipli komuni ta' 77 u 23 huwa 1771. Ikkonverti \frac{94}{77} u \frac{63}{23} fi frazzjonijiet bid-denominatur 1771.

$$\frac{2162}{1771}-\frac{4851}{1771}-\frac{1\times 23+7}{23}$$

Billi \frac{2162}{1771} u \frac{4851}{1771} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{2162-4851}{1771}-\frac{1\times 23+7}{23}$$

Naqqas 4851 minn 2162 biex tikseb -2689.

$$-\frac{2689}{1771}-\frac{1\times 23+7}{23}$$

Immultiplika 1 u 23 biex tikseb 23.

$$-\frac{2689}{1771}-\frac{23+7}{23}$$

Żid 23 u 7 biex tikseb 30.

$$-\frac{2689}{1771}-\frac{30}{23}$$

L-inqas multipli komuni ta' 1771 u 23 huwa 1771. Ikkonverti -\frac{2689}{1771} u \frac{30}{23} fi frazzjonijiet bid-denominatur 1771.

$$-\frac{2689}{1771}-\frac{2310}{1771}$$

Billi -\frac{2689}{1771} u \frac{2310}{1771} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-2689-2310}{1771}$$

Naqqas 2310 minn -2689 biex tikseb -4999.

$$-\frac{4999}{1771}$$

Fattur

$$-\frac{4999}{1771} = -2\frac{1457}{1771} = -2.8226990400903444$$