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

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

Enrhifo

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

Camau Ateb

Adio 2 a \frac{1}{3} i gael \frac{7}{3}.

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

Tynnu \frac{1}{5} o 2 i gael \frac{9}{5}.

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

Rhannwch \frac{7}{3} â \frac{9}{5} drwy luosi \frac{7}{3} â chilydd \frac{9}{5}.

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

Lluosi \frac{7}{3} a \frac{5}{9} i gael \frac{35}{27}.

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

Lluosi 6.7 a \frac{35}{27} i gael \frac{469}{54}.

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

Rhannwch \frac{469}{54} â \frac{1}{5} drwy luosi \frac{469}{54} â chilydd \frac{1}{5}.

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

Lluosi \frac{469}{54} a 5 i gael \frac{2345}{54}.

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

Cyfrifo \frac{1}{3} i bŵer -1 a chael 3.

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

Adio \frac{2345}{54} a 3 i gael \frac{2507}{54}.

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

Ffactor

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