Whakaoti i te 5/6*4/15-3/5*20/18

$$\frac { 5 } { 6 } \times \frac { 4 } { 15 } - \frac { 3 } { 5 } \times \frac { 20 } { 18 }$$

Aromātai

$$-\frac{4}{9}\approx -0.444444444$$

Ngā Upane Otinga

Me whakarea te \frac{5}{6} ki te \frac{4}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 4}{6\times 15}-\frac{3}{5}\times \frac{20}{18}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 4}{6\times 15}.

$$\frac{20}{90}-\frac{3}{5}\times \frac{20}{18}$$

Whakahekea te hautanga \frac{20}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{2}{9}-\frac{3}{5}\times \frac{20}{18}$$

Whakahekea te hautanga \frac{20}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{9}-\frac{3}{5}\times \frac{10}{9}$$

Me whakarea te \frac{3}{5} ki te \frac{10}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2}{9}-\frac{3\times 10}{5\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 10}{5\times 9}.

$$\frac{2}{9}-\frac{30}{45}$$

Whakahekea te hautanga \frac{30}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{2}{9}-\frac{2}{3}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{2}{9} me \frac{2}{3} ki te hautau me te tautūnga 9.

$$\frac{2}{9}-\frac{6}{9}$$

Tā te mea he rite te tauraro o \frac{2}{9} me \frac{6}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-6}{9}$$

Tangohia te 6 i te 2, ka -4.

$$-\frac{4}{9}$$

Tauwehe

$$-\frac{4}{9} = -0.4444444444444444$$