Whakaoti i te 1/6*3/4-3/4*(1/6-frac{3}{4})=

$$\frac { 1 } { 6 } \cdot \frac { 3 } { 4 } - \frac { 3 } { 4 } \cdot ( \frac { 1 } { 6 } - \frac { 3 } { 4 } ) =$$

Aromātai

$$\frac{9}{16}=0.5625$$

Ngā Upane Otinga

Me whakarea te \frac{1}{6} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 3}{6\times 4}-\frac{3}{4}\left(\frac{1}{6}-\frac{3}{4}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{6\times 4}.

$$\frac{3}{24}-\frac{3}{4}\left(\frac{1}{6}-\frac{3}{4}\right)$$

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

$$\frac{1}{8}-\frac{3}{4}\left(\frac{1}{6}-\frac{3}{4}\right)$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{1}{6} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\frac{1}{8}-\frac{3}{4}\left(\frac{2}{12}-\frac{9}{12}\right)$$

Tā te mea he rite te tauraro o \frac{2}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{8}-\frac{3}{4}\times \frac{2-9}{12}$$

Tangohia te 9 i te 2, ka -7.

$$\frac{1}{8}-\frac{3}{4}\left(-\frac{7}{12}\right)$$

Me whakarea te \frac{3}{4} ki te -\frac{7}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{8}-\frac{3\left(-7\right)}{4\times 12}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\left(-7\right)}{4\times 12}.

$$\frac{1}{8}-\frac{-21}{48}$$

Whakahekea te hautanga \frac{-21}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{8}-\left(-\frac{7}{16}\right)$$

Ko te tauaro o -\frac{7}{16} ko \frac{7}{16}.

$$\frac{1}{8}+\frac{7}{16}$$

Ko te maha noa iti rawa atu o 8 me 16 ko 16. Me tahuri \frac{1}{8} me \frac{7}{16} ki te hautau me te tautūnga 16.

$$\frac{2}{16}+\frac{7}{16}$$

Tā te mea he rite te tauraro o \frac{2}{16} me \frac{7}{16}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+7}{16}$$

Tāpirihia te 2 ki te 7, ka 9.

$$\frac{9}{16}$$

Tauwehe

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$