Whakaoti i te 3/5+(-3)[-1/3+1-(1/4-1/8)-frac{3}{4}]

$$\frac { 3 } { 5 } + ( - 3 ) [ - \frac { 1 } { 3 } + 1 - ( \frac { 1 } { 4 } - \frac { 1 } { 8 } ) - \frac { 3 } { 4 } ]$$

Aromātai

$$\frac{49}{40}=1.225$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{3}{3}.

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

Tā te mea he rite te tauraro o -\frac{1}{3} me \frac{3}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te -1 ki te 3, ka 2.

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

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{1}{4} me \frac{1}{8} ki te hautau me te tautūnga 8.

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

Tā te mea he rite te tauraro o \frac{2}{8} me \frac{1}{8}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 1 i te 2, ka 1.

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

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{2}{3} me \frac{1}{8} ki te hautau me te tautūnga 24.

$$\frac{3}{5}-3\left(\frac{16}{24}-\frac{3}{24}-\frac{3}{4}\right)$$

Tā te mea he rite te tauraro o \frac{16}{24} me \frac{3}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{5}-3\left(\frac{16-3}{24}-\frac{3}{4}\right)$$

Tangohia te 3 i te 16, ka 13.

$$\frac{3}{5}-3\left(\frac{13}{24}-\frac{3}{4}\right)$$

Ko te maha noa iti rawa atu o 24 me 4 ko 24. Me tahuri \frac{13}{24} me \frac{3}{4} ki te hautau me te tautūnga 24.

$$\frac{3}{5}-3\left(\frac{13}{24}-\frac{18}{24}\right)$$

Tā te mea he rite te tauraro o \frac{13}{24} me \frac{18}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{5}-3\times \frac{13-18}{24}$$

Tangohia te 18 i te 13, ka -5.

$$\frac{3}{5}-3\left(-\frac{5}{24}\right)$$

Tuhia te -3\left(-\frac{5}{24}\right) hei hautanga kotahi.

$$\frac{3}{5}+\frac{-3\left(-5\right)}{24}$$

Whakareatia te -3 ki te -5, ka 15.

$$\frac{3}{5}+\frac{15}{24}$$

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

$$\frac{3}{5}+\frac{5}{8}$$

Ko te maha noa iti rawa atu o 5 me 8 ko 40. Me tahuri \frac{3}{5} me \frac{5}{8} ki te hautau me te tautūnga 40.

$$\frac{24}{40}+\frac{25}{40}$$

Tā te mea he rite te tauraro o \frac{24}{40} me \frac{25}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{24+25}{40}$$

Tāpirihia te 24 ki te 25, ka 49.

$$\frac{49}{40}$$

Tauwehe

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 5} = 1\frac{9}{40} = 1.225$$