Whakaoti i te (3/4:6/5-7)*9/2=

$$( \frac { 3 } { 4 } : \frac { 6 } { 5 } - 7 ) \cdot \frac { 9 } { 2 } =$$

Aromātai

$$-\frac{459}{16}=-28.6875$$

Ngā Upane Otinga

Whakawehe \frac{3}{4} ki te \frac{6}{5} mā te whakarea \frac{3}{4} ki te tau huripoki o \frac{6}{5}.

$$\left(\frac{3}{4}\times \frac{5}{6}-7\right)\times \frac{9}{2}$$

Me whakarea te \frac{3}{4} ki te \frac{5}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\left(\frac{3\times 5}{4\times 6}-7\right)\times \frac{9}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 5}{4\times 6}.

$$\left(\frac{15}{24}-7\right)\times \frac{9}{2}$$

Whakahekea te hautanga \frac{15}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\left(\frac{5}{8}-7\right)\times \frac{9}{2}$$

Me tahuri te 7 ki te hautau \frac{56}{8}.

$$\left(\frac{5}{8}-\frac{56}{8}\right)\times \frac{9}{2}$$

Tā te mea he rite te tauraro o \frac{5}{8} me \frac{56}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5-56}{8}\times \frac{9}{2}$$

Tangohia te 56 i te 5, ka -51.

$$-\frac{51}{8}\times \frac{9}{2}$$

Me whakarea te -\frac{51}{8} ki te \frac{9}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-51\times 9}{8\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{-51\times 9}{8\times 2}.

$$\frac{-459}{16}$$

Ka taea te hautanga \frac{-459}{16} te tuhi anō ko -\frac{459}{16} mā te tango i te tohu tōraro.

$$-\frac{459}{16}$$

Tauwehe

$$-\frac{459}{16} = -28\frac{11}{16} = -28.6875$$