Issolvi (6.7)2+1/3/2-frac{1{5}}:1/5+(1/3)^-1

$$( 6.7 ) \frac { 2 + \frac { 1 } { 3 } } { 2 - \frac { 1 } { 5 } } : \frac { 1 } { 5 } + ( \frac { 1 } { 3 } ) ^ { - 1 }$$

Evalwa

$$\frac{2507}{54}\approx 46.425925926$$

Passi tas-Soluzzjonijiet

Żid 2 u \frac{1}{3} biex tikseb \frac{7}{3}.

$$\frac{6.7\times \frac{\frac{7}{3}}{2-\frac{1}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Naqqas \frac{1}{5} minn 2 biex tikseb \frac{9}{5}.

$$\frac{6.7\times \frac{\frac{7}{3}}{\frac{9}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Iddividi \frac{7}{3} b'\frac{9}{5} billi timmultiplika \frac{7}{3} bir-reċiproku ta' \frac{9}{5}.

$$\frac{6.7\times \frac{7}{3}\times \frac{5}{9}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Immultiplika \frac{7}{3} u \frac{5}{9} biex tikseb \frac{35}{27}.

$$\frac{6.7\times \frac{35}{27}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Immultiplika 6.7 u \frac{35}{27} biex tikseb \frac{469}{54}.

$$\frac{\frac{469}{54}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Iddividi \frac{469}{54} b'\frac{1}{5} billi timmultiplika \frac{469}{54} bir-reċiproku ta' \frac{1}{5}.

$$\frac{469}{54}\times 5+\left(\frac{1}{3}\right)^{-1}$$

Immultiplika \frac{469}{54} u 5 biex tikseb \frac{2345}{54}.

$$\frac{2345}{54}+\left(\frac{1}{3}\right)^{-1}$$

Ikkalkula \frac{1}{3} bil-power ta' -1 u tikseb 3.

$$\frac{2345}{54}+3$$

Żid \frac{2345}{54} u 3 biex tikseb \frac{2507}{54}.

$$\frac{2507}{54}$$

Fattur

$$\frac{23 \cdot 109}{2 \cdot 3 ^ {3}} = 46\frac{23}{54} = 46.425925925925924$$