Whakaoti i te 3/5+1/3text{of}6/5-(1/5+frac{4}{3})

$$\frac { 3 } { 5 } + \frac { 1 } { 3 } \text { of } \frac { 6 } { 5 } - ( \frac { 1 } { 5 } + \frac { 4 } { 3 } )$$

Aromātai

$$-\frac{8}{15}\approx -0.533333333$$

Ngā Upane Otinga

Me whakarea te \frac{1}{3} ki te \frac{6}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3}{5}+\frac{1\times 6}{3\times 5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 6}{3\times 5}.

$$\frac{3}{5}+\frac{6}{15}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

Whakahekea te hautanga \frac{6}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{5}+\frac{2}{5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

Tā te mea he rite te tauraro o \frac{3}{5} me \frac{2}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+2}{5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{5}{5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

Whakawehea te 5 ki te 5, kia riro ko 1.

$$1-\left(\frac{1}{5}+\frac{4}{3}\right)$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{1}{5} me \frac{4}{3} ki te hautau me te tautūnga 15.

$$1-\left(\frac{3}{15}+\frac{20}{15}\right)$$

Tā te mea he rite te tauraro o \frac{3}{15} me \frac{20}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1-\frac{3+20}{15}$$

Tāpirihia te 3 ki te 20, ka 23.

$$1-\frac{23}{15}$$

Me tahuri te 1 ki te hautau \frac{15}{15}.

$$\frac{15}{15}-\frac{23}{15}$$

Tā te mea he rite te tauraro o \frac{15}{15} me \frac{23}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-23}{15}$$

Tangohia te 23 i te 15, ka -8.

$$-\frac{8}{15}$$

Tauwehe

$$-\frac{8}{15} = -0.5333333333333333$$