Whakaoti i te 31/4:(7/8-2/3)-2*11/4

$$3 \frac { 1 } { 4 } : ( \frac { 7 } { 8 } - \frac { 2 } { 3 } ) - 2 \cdot 1 \frac { 1 } { 4 }$$

Aromātai

$$\frac{131}{10}=13.1$$

Ngā Upane Otinga

Whakareatia te 3 ki te 4, ka 12.

$$\frac{\frac{12+1}{4}}{\frac{7}{8}-\frac{2}{3}}-2\times \frac{1\times 4+1}{4}$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{\frac{13}{4}}{\frac{7}{8}-\frac{2}{3}}-2\times \frac{1\times 4+1}{4}$$

Ko te maha noa iti rawa atu o 8 me 3 ko 24. Me tahuri \frac{7}{8} me \frac{2}{3} ki te hautau me te tautūnga 24.

$$\frac{\frac{13}{4}}{\frac{21}{24}-\frac{16}{24}}-2\times \frac{1\times 4+1}{4}$$

Tā te mea he rite te tauraro o \frac{21}{24} me \frac{16}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{13}{4}}{\frac{21-16}{24}}-2\times \frac{1\times 4+1}{4}$$

Tangohia te 16 i te 21, ka 5.

$$\frac{\frac{13}{4}}{\frac{5}{24}}-2\times \frac{1\times 4+1}{4}$$

Whakawehe \frac{13}{4} ki te \frac{5}{24} mā te whakarea \frac{13}{4} ki te tau huripoki o \frac{5}{24}.

$$\frac{13}{4}\times \frac{24}{5}-2\times \frac{1\times 4+1}{4}$$

Me whakarea te \frac{13}{4} ki te \frac{24}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 24}{4\times 5}-2\times \frac{1\times 4+1}{4}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 24}{4\times 5}.

$$\frac{312}{20}-2\times \frac{1\times 4+1}{4}$$

Whakahekea te hautanga \frac{312}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{78}{5}-2\times \frac{1\times 4+1}{4}$$

Whakareatia te 1 ki te 4, ka 4.

$$\frac{78}{5}-2\times \frac{4+1}{4}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{78}{5}-2\times \frac{5}{4}$$

Tuhia te 2\times \frac{5}{4} hei hautanga kotahi.

$$\frac{78}{5}-\frac{2\times 5}{4}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{78}{5}-\frac{10}{4}$$

Whakahekea te hautanga \frac{10}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{78}{5}-\frac{5}{2}$$

Ko te maha noa iti rawa atu o 5 me 2 ko 10. Me tahuri \frac{78}{5} me \frac{5}{2} ki te hautau me te tautūnga 10.

$$\frac{156}{10}-\frac{25}{10}$$

Tā te mea he rite te tauraro o \frac{156}{10} me \frac{25}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{156-25}{10}$$

Tangohia te 25 i te 156, ka 131.

$$\frac{131}{10}$$

Tauwehe

$$\frac{131}{2 \cdot 5} = 13\frac{1}{10} = 13.1$$