Whakaoti i te 3/22*(2-16/99)*3/2-1/3:(frac{11}{6})^2-frac{17}{11}*frac{1}{22}]

$$\frac { 3 } { 22 } \times ( 2 - \frac { 16 } { 99 } ) \times \frac { 3 } { 2 } - \frac { 1 } { 3 } : ( \frac { 11 } { 6 } ) ^ { 2 } - \frac { 17 } { 11 } \times \frac { 1 } { 22 } ]$$

Aromātai

$$\frac{25}{121}\approx 0.20661157$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{198}{99}.

$$\frac{3}{22}\left(\frac{198}{99}-\frac{16}{99}\right)\times \frac{3}{2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Tā te mea he rite te tauraro o \frac{198}{99} me \frac{16}{99}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{22}\times \frac{198-16}{99}\times \frac{3}{2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Tangohia te 16 i te 198, ka 182.

$$\frac{3}{22}\times \frac{182}{99}\times \frac{3}{2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Me whakarea te \frac{3}{22} ki te \frac{182}{99} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\times 182}{22\times 99}\times \frac{3}{2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 182}{22\times 99}.

$$\frac{546}{2178}\times \frac{3}{2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Whakahekea te hautanga \frac{546}{2178} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{91}{363}\times \frac{3}{2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Me whakarea te \frac{91}{363} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{91\times 3}{363\times 2}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Mahia ngā whakarea i roto i te hautanga \frac{91\times 3}{363\times 2}.

$$\frac{273}{726}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Whakahekea te hautanga \frac{273}{726} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{91}{242}-\frac{\frac{1}{3}}{\left(\frac{11}{6}\right)^{2}}-\frac{17}{11}\times \frac{1}{22}$$

Tātaihia te \frac{11}{6} mā te pū o 2, kia riro ko \frac{121}{36}.

$$\frac{91}{242}-\frac{\frac{1}{3}}{\frac{121}{36}}-\frac{17}{11}\times \frac{1}{22}$$

Whakawehe \frac{1}{3} ki te \frac{121}{36} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{121}{36}.

$$\frac{91}{242}-\frac{1}{3}\times \frac{36}{121}-\frac{17}{11}\times \frac{1}{22}$$

Me whakarea te \frac{1}{3} ki te \frac{36}{121} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{91}{242}-\frac{1\times 36}{3\times 121}-\frac{17}{11}\times \frac{1}{22}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 36}{3\times 121}.

$$\frac{91}{242}-\frac{36}{363}-\frac{17}{11}\times \frac{1}{22}$$

Whakahekea te hautanga \frac{36}{363} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{91}{242}-\frac{12}{121}-\frac{17}{11}\times \frac{1}{22}$$

Ko te maha noa iti rawa atu o 242 me 121 ko 242. Me tahuri \frac{91}{242} me \frac{12}{121} ki te hautau me te tautūnga 242.

$$\frac{91}{242}-\frac{24}{242}-\frac{17}{11}\times \frac{1}{22}$$

Tā te mea he rite te tauraro o \frac{91}{242} me \frac{24}{242}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{91-24}{242}-\frac{17}{11}\times \frac{1}{22}$$

Tangohia te 24 i te 91, ka 67.

$$\frac{67}{242}-\frac{17}{11}\times \frac{1}{22}$$

Me whakarea te \frac{17}{11} ki te \frac{1}{22} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{67}{242}-\frac{17\times 1}{11\times 22}$$

Mahia ngā whakarea i roto i te hautanga \frac{17\times 1}{11\times 22}.

$$\frac{67}{242}-\frac{17}{242}$$

Tā te mea he rite te tauraro o \frac{67}{242} me \frac{17}{242}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{67-17}{242}$$

Tangohia te 17 i te 67, ka 50.

$$\frac{50}{242}$$

Whakahekea te hautanga \frac{50}{242} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{25}{121}$$

Tauwehe

$$\frac{5 ^ {2}}{11 ^ {2}} = 0.2066115702479339$$