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

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

Aromātai

$$-\frac{4}{15}\approx -0.266666667$$

Ngā Upane Otinga

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

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

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

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

Ko te maha noa iti rawa atu o 2 me 6 ko 6. Me tahuri \frac{3}{2} me \frac{1}{6} ki te hautau me te tautūnga 6.

$$\frac{9}{6}+\frac{1}{6}-\frac{\frac{4}{5}}{3}-\frac{5}{3}$$

Tā te mea he rite te tauraro o \frac{9}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9+1}{6}-\frac{\frac{4}{5}}{3}-\frac{5}{3}$$

Tāpirihia te 9 ki te 1, ka 10.

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

Whakahekea te hautanga \frac{10}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{3}-\frac{\frac{4}{5}}{3}-\frac{5}{3}$$

Tuhia te \frac{\frac{4}{5}}{3} hei hautanga kotahi.

$$\frac{5}{3}-\frac{4}{5\times 3}-\frac{5}{3}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{5}{3}-\frac{4}{15}-\frac{5}{3}$$

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

$$\frac{25}{15}-\frac{4}{15}-\frac{5}{3}$$

Tā te mea he rite te tauraro o \frac{25}{15} me \frac{4}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{25-4}{15}-\frac{5}{3}$$

Tangohia te 4 i te 25, ka 21.

$$\frac{21}{15}-\frac{5}{3}$$

Whakahekea te hautanga \frac{21}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{7}{5}-\frac{5}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{7}{5} me \frac{5}{3} ki te hautau me te tautūnga 15.

$$\frac{21}{15}-\frac{25}{15}$$

Tā te mea he rite te tauraro o \frac{21}{15} me \frac{25}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{21-25}{15}$$

Tangohia te 25 i te 21, ka -4.

$$-\frac{4}{15}$$

Tauwehe

$$-\frac{4}{15} = -0.26666666666666666$$