Whakaoti i te -53/8+45/6-(-21/4)

$$- 5 \frac { 3 } { 8 } + 4 \frac { 5 } { 6 } - ( - 2 \frac { 1 } { 4 } )$$

Aromātai

$$\frac{41}{24}\approx 1.708333333$$

Ngā Upane Otinga

Whakareatia te 5 ki te 8, ka 40.

$$-\frac{40+3}{8}+\frac{4\times 6+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

Tāpirihia te 40 ki te 3, ka 43.

$$-\frac{43}{8}+\frac{4\times 6+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

Whakareatia te 4 ki te 6, ka 24.

$$-\frac{43}{8}+\frac{24+5}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

Tāpirihia te 24 ki te 5, ka 29.

$$-\frac{43}{8}+\frac{29}{6}-\left(-\frac{2\times 4+1}{4}\right)$$

Ko te maha noa iti rawa atu o 8 me 6 ko 24. Me tahuri -\frac{43}{8} me \frac{29}{6} ki te hautau me te tautūnga 24.

$$-\frac{129}{24}+\frac{116}{24}-\left(-\frac{2\times 4+1}{4}\right)$$

Tā te mea he rite te tauraro o -\frac{129}{24} me \frac{116}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-129+116}{24}-\left(-\frac{2\times 4+1}{4}\right)$$

Tāpirihia te -129 ki te 116, ka -13.

$$-\frac{13}{24}-\left(-\frac{2\times 4+1}{4}\right)$$

Whakareatia te 2 ki te 4, ka 8.

$$-\frac{13}{24}-\left(-\frac{8+1}{4}\right)$$

Tāpirihia te 8 ki te 1, ka 9.

$$-\frac{13}{24}-\left(-\frac{9}{4}\right)$$

Ko te tauaro o -\frac{9}{4} ko \frac{9}{4}.

$$-\frac{13}{24}+\frac{9}{4}$$

Ko te maha noa iti rawa atu o 24 me 4 ko 24. Me tahuri -\frac{13}{24} me \frac{9}{4} ki te hautau me te tautūnga 24.

$$-\frac{13}{24}+\frac{54}{24}$$

Tā te mea he rite te tauraro o -\frac{13}{24} me \frac{54}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-13+54}{24}$$

Tāpirihia te -13 ki te 54, ka 41.

$$\frac{41}{24}$$

Tauwehe

$$\frac{41}{2 ^ {3} \cdot 3} = 1\frac{17}{24} = 1.7083333333333333$$