Whakaoti i te 3/4+5/6*3/5/frac{1{2}-frac{2}{7}*frac{7}{5}}

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

Aromātai

$$\frac{25}{2}=12.5$$

Ngā Upane Otinga

Me whakarea te \frac{5}{6} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 5 i te taurunga me te tauraro.

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

Whakahekea te hautanga \frac{3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{3}{4}+\frac{1}{2}}{\frac{1}{2}-\frac{2}{7}\times \frac{7}{5}}$$

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{3}{4} me \frac{1}{2} ki te hautau me te tautūnga 4.

$$\frac{\frac{3}{4}+\frac{2}{4}}{\frac{1}{2}-\frac{2}{7}\times \frac{7}{5}}$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{2}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3+2}{4}}{\frac{1}{2}-\frac{2}{7}\times \frac{7}{5}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{5}{4}}{\frac{1}{2}-\frac{2}{7}\times \frac{7}{5}}$$

Me whakarea te \frac{2}{7} ki te \frac{7}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{5}{4}}{\frac{1}{2}-\frac{2\times 7}{7\times 5}}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$\frac{\frac{5}{4}}{\frac{1}{2}-\frac{2}{5}}$$

Ko te maha noa iti rawa atu o 2 me 5 ko 10. Me tahuri \frac{1}{2} me \frac{2}{5} ki te hautau me te tautūnga 10.

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

Tā te mea he rite te tauraro o \frac{5}{10} me \frac{4}{10}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 4 i te 5, ka 1.

$$\frac{\frac{5}{4}}{\frac{1}{10}}$$

Whakawehe \frac{5}{4} ki te \frac{1}{10} mā te whakarea \frac{5}{4} ki te tau huripoki o \frac{1}{10}.

$$\frac{5}{4}\times 10$$

Tuhia te \frac{5}{4}\times 10 hei hautanga kotahi.

$$\frac{5\times 10}{4}$$

Whakareatia te 5 ki te 10, ka 50.

$$\frac{50}{4}$$

Whakahekea te hautanga \frac{50}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{25}{2}$$

Tauwehe

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$