Whakaoti i te (21/7)(5)/frac{3{7}+2/6+1/11}=

$$\frac { ( 2 \frac { 1 } { 7 } ) ( 5 ) } { \frac { 3 } { 7 } + \frac { 2 } { 6 } + \frac { 1 } { 11 } } =$$

Aromātai

$$\frac{2475}{197}\approx 12.563451777$$

Ngā Upane Otinga

Whakareatia te 2 ki te 7, ka 14.

$$\frac{\frac{14+1}{7}\times 5}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{\frac{15}{7}\times 5}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

Tuhia te \frac{15}{7}\times 5 hei hautanga kotahi.

$$\frac{\frac{15\times 5}{7}}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

Whakareatia te 15 ki te 5, ka 75.

$$\frac{\frac{75}{7}}{\frac{3}{7}+\frac{2}{6}+\frac{1}{11}}$$

Whakahekea te hautanga \frac{2}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{75}{7}}{\frac{3}{7}+\frac{1}{3}+\frac{1}{11}}$$

Ko te maha noa iti rawa atu o 7 me 3 ko 21. Me tahuri \frac{3}{7} me \frac{1}{3} ki te hautau me te tautūnga 21.

$$\frac{\frac{75}{7}}{\frac{9}{21}+\frac{7}{21}+\frac{1}{11}}$$

Tā te mea he rite te tauraro o \frac{9}{21} me \frac{7}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{75}{7}}{\frac{9+7}{21}+\frac{1}{11}}$$

Tāpirihia te 9 ki te 7, ka 16.

$$\frac{\frac{75}{7}}{\frac{16}{21}+\frac{1}{11}}$$

Ko te maha noa iti rawa atu o 21 me 11 ko 231. Me tahuri \frac{16}{21} me \frac{1}{11} ki te hautau me te tautūnga 231.

$$\frac{\frac{75}{7}}{\frac{176}{231}+\frac{21}{231}}$$

Tā te mea he rite te tauraro o \frac{176}{231} me \frac{21}{231}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{75}{7}}{\frac{176+21}{231}}$$

Tāpirihia te 176 ki te 21, ka 197.

$$\frac{\frac{75}{7}}{\frac{197}{231}}$$

Whakawehe \frac{75}{7} ki te \frac{197}{231} mā te whakarea \frac{75}{7} ki te tau huripoki o \frac{197}{231}.

$$\frac{75}{7}\times \frac{231}{197}$$

Me whakarea te \frac{75}{7} ki te \frac{231}{197} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{75\times 231}{7\times 197}$$

Mahia ngā whakarea i roto i te hautanga \frac{75\times 231}{7\times 197}.

$$\frac{17325}{1379}$$

Whakahekea te hautanga \frac{17325}{1379} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{2475}{197}$$

Tauwehe

$$\frac{3 ^ {2} \cdot 5 ^ {2} \cdot 11}{197} = 12\frac{111}{197} = 12.563451776649746$$