Whakaoti i te 1/5*2/3-12/3div22/9

$$\frac { 1 } { 5 } \times \frac { 2 } { 3 } - 1 \frac { 2 } { 3 } \div 2 \frac { 2 } { 9 }$$

Aromātai

$$-\frac{37}{60}\approx -0.616666667$$

Ngā Upane Otinga

Me whakarea te \frac{1}{5} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 2}{5\times 3}-\frac{\frac{1\times 3+2}{3}}{\frac{2\times 9+2}{9}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{5\times 3}.

$$\frac{2}{15}-\frac{\frac{1\times 3+2}{3}}{\frac{2\times 9+2}{9}}$$

Whakawehe \frac{1\times 3+2}{3} ki te \frac{2\times 9+2}{9} mā te whakarea \frac{1\times 3+2}{3} ki te tau huripoki o \frac{2\times 9+2}{9}.

$$\frac{2}{15}-\frac{\left(1\times 3+2\right)\times 9}{3\left(2\times 9+2\right)}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{2}{15}-\frac{3\left(2+3\right)}{2+2\times 9}$$

Tāpirihia te 2 ki te 3, ka 5.

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

Whakareatia te 3 ki te 5, ka 15.

$$\frac{2}{15}-\frac{15}{2+2\times 9}$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{2}{15}-\frac{15}{2+18}$$

Tāpirihia te 2 ki te 18, ka 20.

$$\frac{2}{15}-\frac{15}{20}$$

Whakahekea te hautanga \frac{15}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{2}{15}-\frac{3}{4}$$

Ko te maha noa iti rawa atu o 15 me 4 ko 60. Me tahuri \frac{2}{15} me \frac{3}{4} ki te hautau me te tautūnga 60.

$$\frac{8}{60}-\frac{45}{60}$$

Tā te mea he rite te tauraro o \frac{8}{60} me \frac{45}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-45}{60}$$

Tangohia te 45 i te 8, ka -37.

$$-\frac{37}{60}$$

Tauwehe

$$-\frac{37}{60} = -0.6166666666666667$$