Whakaoti i te 2/3/frac{1{6}}+1/4/frac{3{2}}-frac{frac{4}{5}}{frac{3}{10}}

$$\frac { \frac { 2 } { 3 } } { \frac { 1 } { 6 } } + \frac { \frac { 1 } { 4 } } { \frac { 3 } { 2 } } - \frac { \frac { 4 } { 5 } } { \frac { 3 } { 10 } }$$

Aromātai

$$\frac{3}{2}=1.5$$

Ngā Upane Otinga

Whakawehe \frac{2}{3} ki te \frac{1}{6} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{1}{6}.

$$\frac{2}{3}\times 6+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Tuhia te \frac{2}{3}\times 6 hei hautanga kotahi.

$$\frac{2\times 6}{3}+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Whakareatia te 2 ki te 6, ka 12.

$$\frac{12}{3}+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Whakawehea te 12 ki te 3, kia riro ko 4.

$$4+\frac{\frac{1}{4}}{\frac{3}{2}}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Whakawehe \frac{1}{4} ki te \frac{3}{2} mā te whakarea \frac{1}{4} ki te tau huripoki o \frac{3}{2}.

$$4+\frac{1}{4}\times \frac{2}{3}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Me whakarea te \frac{1}{4} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$4+\frac{1\times 2}{4\times 3}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{4\times 3}.

$$4+\frac{2}{12}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Whakahekea te hautanga \frac{2}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$4+\frac{1}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Me tahuri te 4 ki te hautau \frac{24}{6}.

$$\frac{24}{6}+\frac{1}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Tā te mea he rite te tauraro o \frac{24}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{24+1}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Tāpirihia te 24 ki te 1, ka 25.

$$\frac{25}{6}-\frac{\frac{4}{5}}{\frac{3}{10}}$$

Whakawehe \frac{4}{5} ki te \frac{3}{10} mā te whakarea \frac{4}{5} ki te tau huripoki o \frac{3}{10}.

$$\frac{25}{6}-\frac{4}{5}\times \frac{10}{3}$$

Me whakarea te \frac{4}{5} ki te \frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{25}{6}-\frac{4\times 10}{5\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 10}{5\times 3}.

$$\frac{25}{6}-\frac{40}{15}$$

Whakahekea te hautanga \frac{40}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{25}{6}-\frac{8}{3}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{25}{6} me \frac{8}{3} ki te hautau me te tautūnga 6.

$$\frac{25}{6}-\frac{16}{6}$$

Tā te mea he rite te tauraro o \frac{25}{6} me \frac{16}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{25-16}{6}$$

Tangohia te 16 i te 25, ka 9.

$$\frac{9}{6}$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{2}$$

Tauwehe

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$