Whakaoti i te [(2-1*3/5)^2+(5/8-3/4)-(6/5*frac{1}{3})(7*frac{1}{2})]div(5-frac{6}{5})

$$[ ( 2 - 1 \cdot \frac { 3 } { 5 } ) ^ { 2 } + ( \frac { 5 } { 8 } - \frac { 3 } { 4 } ) - ( \frac { 6 } { 5 } \cdot \frac { 1 } { 3 } ) ( 7 \cdot \frac { 1 } { 2 } ) ] \div ( 5 - \frac { 6 } { 5 } )$$

Aromātai

$$\frac{87}{760}\approx 0.114473684$$

Ngā Upane Otinga

Whakareatia te 1 ki te \frac{3}{5}, ka \frac{3}{5}.

$$\frac{\left(2-\frac{3}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Tangohia te \frac{3}{5} i te 2, ka \frac{7}{5}.

$$\frac{\left(\frac{7}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Tātaihia te \frac{7}{5} mā te pū o 2, kia riro ko \frac{49}{25}.

$$\frac{\frac{49}{25}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Tāpirihia te \frac{49}{25} ki te \frac{5}{8}, ka \frac{517}{200}.

$$\frac{\frac{517}{200}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Tangohia te \frac{3}{4} i te \frac{517}{200}, ka \frac{367}{200}.

$$\frac{\frac{367}{200}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Whakareatia te \frac{6}{5} ki te \frac{1}{3}, ka \frac{2}{5}.

$$\frac{\frac{367}{200}-\frac{2}{5}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Whakareatia te \frac{2}{5} ki te 7, ka \frac{14}{5}.

$$\frac{\frac{367}{200}-\frac{14}{5}\times \frac{1}{2}}{5-\frac{6}{5}}$$

Whakareatia te \frac{14}{5} ki te \frac{1}{2}, ka \frac{7}{5}.

$$\frac{\frac{367}{200}-\frac{7}{5}}{5-\frac{6}{5}}$$

Tangohia te \frac{7}{5} i te \frac{367}{200}, ka \frac{87}{200}.

$$\frac{\frac{87}{200}}{5-\frac{6}{5}}$$

Tangohia te \frac{6}{5} i te 5, ka \frac{19}{5}.

$$\frac{\frac{87}{200}}{\frac{19}{5}}$$

Whakawehe \frac{87}{200} ki te \frac{19}{5} mā te whakarea \frac{87}{200} ki te tau huripoki o \frac{19}{5}.

$$\frac{87}{200}\times \frac{5}{19}$$

Whakareatia te \frac{87}{200} ki te \frac{5}{19}, ka \frac{87}{760}.

$$\frac{87}{760}$$

Tauwehe

$$\frac{3 \cdot 29}{2 ^ {3} \cdot 5 \cdot 19} = 0.11447368421052631$$