Whakaoti i te 2/5+3/2/frac{9{2}*4}-5/8*frac{4}{15}

$$\frac{ \frac{ 2 }{ 5 } + \frac{ 3 }{ 2 } }{ \frac{ 9 }{ 2 } \times 4 } - \frac{ 5 }{ 8 } \times \frac{ 4 }{ 15 }$$

Aromātai

$$-\frac{11}{180}\approx -0.061111111$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 2 ko 10. Me tahuri \frac{2}{5} me \frac{3}{2} ki te hautau me te tautūnga 10.

$$\frac{\frac{4}{10}+\frac{15}{10}}{\frac{9}{2}\times 4}-\frac{5}{8}\times \frac{4}{15}$$

Tā te mea he rite te tauraro o \frac{4}{10} me \frac{15}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4+15}{10}}{\frac{9}{2}\times 4}-\frac{5}{8}\times \frac{4}{15}$$

Tāpirihia te 4 ki te 15, ka 19.

$$\frac{\frac{19}{10}}{\frac{9}{2}\times 4}-\frac{5}{8}\times \frac{4}{15}$$

Tuhia te \frac{9}{2}\times 4 hei hautanga kotahi.

$$\frac{\frac{19}{10}}{\frac{9\times 4}{2}}-\frac{5}{8}\times \frac{4}{15}$$

Whakareatia te 9 ki te 4, ka 36.

$$\frac{\frac{19}{10}}{\frac{36}{2}}-\frac{5}{8}\times \frac{4}{15}$$

Whakawehea te 36 ki te 2, kia riro ko 18.

$$\frac{\frac{19}{10}}{18}-\frac{5}{8}\times \frac{4}{15}$$

Tuhia te \frac{\frac{19}{10}}{18} hei hautanga kotahi.

$$\frac{19}{10\times 18}-\frac{5}{8}\times \frac{4}{15}$$

Whakareatia te 10 ki te 18, ka 180.

$$\frac{19}{180}-\frac{5}{8}\times \frac{4}{15}$$

Me whakarea te \frac{5}{8} ki te \frac{4}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{19}{180}-\frac{5\times 4}{8\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 4}{8\times 15}.

$$\frac{19}{180}-\frac{20}{120}$$

Whakahekea te hautanga \frac{20}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$\frac{19}{180}-\frac{1}{6}$$

Ko te maha noa iti rawa atu o 180 me 6 ko 180. Me tahuri \frac{19}{180} me \frac{1}{6} ki te hautau me te tautūnga 180.

$$\frac{19}{180}-\frac{30}{180}$$

Tā te mea he rite te tauraro o \frac{19}{180} me \frac{30}{180}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{19-30}{180}$$

Tangohia te 30 i te 19, ka -11.

$$-\frac{11}{180}$$

Tauwehe

$$-\frac{11}{180} = -0.06111111111111111$$