Whakaoti i te {l}{text{17}(-48)*(12/3-3/8+5/24)}{-(-48)*23/7}

$$\left. \begin{array} { l } { \text { 17 } ( - 48 ) \times ( 1 \frac { 2 } { 3 } - \frac { 3 } { 8 } + \frac { 5 } { 24 } ) } \\ { - ( - 48 ) \times \frac { 23 } { 7 } } \end{array} \right.$$

Aromātai

$$-\frac{7464}{7}\approx -1066.285714286$$

Ngā Upane Otinga

Whakareatia te 17 ki te -48, ka -816.

$$-816\left(\frac{3+2}{3}-\frac{3}{8}+\frac{5}{24}\right)-\left(-48\times \frac{23}{7}\right)$$

Tāpirihia te 3 ki te 2, ka 5.

$$-816\left(\frac{5}{3}-\frac{3}{8}+\frac{5}{24}\right)-\left(-48\times \frac{23}{7}\right)$$

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{5}{3} me \frac{3}{8} ki te hautau me te tautūnga 24.

$$-816\left(\frac{40}{24}-\frac{9}{24}+\frac{5}{24}\right)-\left(-48\times \frac{23}{7}\right)$$

Tā te mea he rite te tauraro o \frac{40}{24} me \frac{9}{24}, me tango rāua mā te tango i ō raua taurunga.

$$-816\left(\frac{40-9}{24}+\frac{5}{24}\right)-\left(-48\times \frac{23}{7}\right)$$

Tangohia te 9 i te 40, ka 31.

$$-816\left(\frac{31}{24}+\frac{5}{24}\right)-\left(-48\times \frac{23}{7}\right)$$

Tā te mea he rite te tauraro o \frac{31}{24} me \frac{5}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-816\times \frac{31+5}{24}-\left(-48\times \frac{23}{7}\right)$$

Tāpirihia te 31 ki te 5, ka 36.

$$-816\times \frac{36}{24}-\left(-48\times \frac{23}{7}\right)$$

Whakahekea te hautanga \frac{36}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$-816\times \frac{3}{2}-\left(-48\times \frac{23}{7}\right)$$

Tuhia te -816\times \frac{3}{2} hei hautanga kotahi.

$$\frac{-816\times 3}{2}-\left(-48\times \frac{23}{7}\right)$$

Whakareatia te -816 ki te 3, ka -2448.

$$\frac{-2448}{2}-\left(-48\times \frac{23}{7}\right)$$

Whakawehea te -2448 ki te 2, kia riro ko -1224.

$$-1224-\left(-48\times \frac{23}{7}\right)$$

Tuhia te -48\times \frac{23}{7} hei hautanga kotahi.

$$-1224-\frac{-48\times 23}{7}$$

Whakareatia te -48 ki te 23, ka -1104.

$$-1224-\frac{-1104}{7}$$

Ka taea te hautanga \frac{-1104}{7} te tuhi anō ko -\frac{1104}{7} mā te tango i te tohu tōraro.

$$-1224-\left(-\frac{1104}{7}\right)$$

Ko te tauaro o -\frac{1104}{7} ko \frac{1104}{7}.

$$-1224+\frac{1104}{7}$$

Me tahuri te -1224 ki te hautau -\frac{8568}{7}.

$$-\frac{8568}{7}+\frac{1104}{7}$$

Tā te mea he rite te tauraro o -\frac{8568}{7} me \frac{1104}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-8568+1104}{7}$$

Tāpirihia te -8568 ki te 1104, ka -7464.

$$-\frac{7464}{7}$$

Tauwehe

$$-\frac{7464}{7} = -1066\frac{2}{7} = -1066.2857142857142$$