Whakaoti i te -27/20*(-5/9)-5/24*(-22/5)

$$- \frac { 27 } { 20 } \cdot ( - \frac { 5 } { 9 } ) - \frac { 5 } { 24 } \cdot ( - \frac { 22 } { 5 } )$$

Aromātai

$$\frac{5}{3}\approx 1.666666667$$

Ngā Upane Otinga

Me whakarea te -\frac{27}{20} ki te -\frac{5}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-27\left(-5\right)}{20\times 9}-\frac{5}{24}\left(-\frac{22}{5}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-27\left(-5\right)}{20\times 9}.

$$\frac{135}{180}-\frac{5}{24}\left(-\frac{22}{5}\right)$$

Whakahekea te hautanga \frac{135}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 45.

$$\frac{3}{4}-\frac{5}{24}\left(-\frac{22}{5}\right)$$

Me whakarea te \frac{5}{24} ki te -\frac{22}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3}{4}-\frac{5\left(-22\right)}{24\times 5}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{3}{4}-\frac{-22}{24}$$

Whakahekea te hautanga \frac{-22}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3}{4}-\left(-\frac{11}{12}\right)$$

Ko te tauaro o -\frac{11}{12} ko \frac{11}{12}.

$$\frac{3}{4}+\frac{11}{12}$$

Ko te maha noa iti rawa atu o 4 me 12 ko 12. Me tahuri \frac{3}{4} me \frac{11}{12} ki te hautau me te tautūnga 12.

$$\frac{9}{12}+\frac{11}{12}$$

Tā te mea he rite te tauraro o \frac{9}{12} me \frac{11}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9+11}{12}$$

Tāpirihia te 9 ki te 11, ka 20.

$$\frac{20}{12}$$

Whakahekea te hautanga \frac{20}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{5}{3}$$

Tauwehe

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$