Whakaoti i te 2/7*21/8-1/7*(5/2-4)=

$$\frac { 2 } { 7 } \cdot \frac { 21 } { 8 } - \frac { 1 } { 7 } \cdot ( \frac { 5 } { 2 } - 4 ) =$$

Aromātai

$$\frac{27}{28}\approx 0.964285714$$

Ngā Upane Otinga

Me whakarea te \frac{2}{7} ki te \frac{21}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 21}{7\times 8}-\frac{1}{7}\left(\frac{5}{2}-4\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 21}{7\times 8}.

$$\frac{42}{56}-\frac{1}{7}\left(\frac{5}{2}-4\right)$$

Whakahekea te hautanga \frac{42}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$\frac{3}{4}-\frac{1}{7}\left(\frac{5}{2}-4\right)$$

Me tahuri te 4 ki te hautau \frac{8}{2}.

$$\frac{3}{4}-\frac{1}{7}\left(\frac{5}{2}-\frac{8}{2}\right)$$

Tā te mea he rite te tauraro o \frac{5}{2} me \frac{8}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{4}-\frac{1}{7}\times \frac{5-8}{2}$$

Tangohia te 8 i te 5, ka -3.

$$\frac{3}{4}-\frac{1}{7}\left(-\frac{3}{2}\right)$$

Me whakarea te \frac{1}{7} ki te -\frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3}{4}-\frac{1\left(-3\right)}{7\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-3\right)}{7\times 2}.

$$\frac{3}{4}-\frac{-3}{14}$$

Ka taea te hautanga \frac{-3}{14} te tuhi anō ko -\frac{3}{14} mā te tango i te tohu tōraro.

$$\frac{3}{4}-\left(-\frac{3}{14}\right)$$

Ko te tauaro o -\frac{3}{14} ko \frac{3}{14}.

$$\frac{3}{4}+\frac{3}{14}$$

Ko te maha noa iti rawa atu o 4 me 14 ko 28. Me tahuri \frac{3}{4} me \frac{3}{14} ki te hautau me te tautūnga 28.

$$\frac{21}{28}+\frac{6}{28}$$

Tā te mea he rite te tauraro o \frac{21}{28} me \frac{6}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+6}{28}$$

Tāpirihia te 21 ki te 6, ka 27.

$$\frac{27}{28}$$

Tauwehe

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 7} = 0.9642857142857143$$