Whakaoti i te -2/5-((1/3+1/-4):(1/15)+frac{1}{10})=

$$\frac { - 2 } { 5 } - ( ( \frac { 1 } { 3 } + \frac { 1 } { - 4 } ) : ( \frac { 1 } { 15 } ) + \frac { 1 } { 10 } ) =$$

Aromātai

$$-\frac{7}{4}=-1.75$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-2}{5} te tuhi anō ko -\frac{2}{5} mā te tango i te tohu tōraro.

$$-\frac{2}{5}-\left(\frac{\frac{1}{3}+\frac{1}{-4}}{\frac{1}{15}}+\frac{1}{10}\right)$$

Ka taea te hautanga \frac{1}{-4} te tuhi anō ko -\frac{1}{4} mā te tango i te tohu tōraro.

$$-\frac{2}{5}-\left(\frac{\frac{1}{3}-\frac{1}{4}}{\frac{1}{15}}+\frac{1}{10}\right)$$

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

$$-\frac{2}{5}-\left(\frac{\frac{4}{12}-\frac{3}{12}}{\frac{1}{15}}+\frac{1}{10}\right)$$

Tā te mea he rite te tauraro o \frac{4}{12} me \frac{3}{12}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{2}{5}-\left(\frac{\frac{4-3}{12}}{\frac{1}{15}}+\frac{1}{10}\right)$$

Tangohia te 3 i te 4, ka 1.

$$-\frac{2}{5}-\left(\frac{\frac{1}{12}}{\frac{1}{15}}+\frac{1}{10}\right)$$

Whakawehe \frac{1}{12} ki te \frac{1}{15} mā te whakarea \frac{1}{12} ki te tau huripoki o \frac{1}{15}.

$$-\frac{2}{5}-\left(\frac{1}{12}\times 15+\frac{1}{10}\right)$$

Whakareatia te \frac{1}{12} ki te 15, ka \frac{15}{12}.

$$-\frac{2}{5}-\left(\frac{15}{12}+\frac{1}{10}\right)$$

Whakahekea te hautanga \frac{15}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{2}{5}-\left(\frac{5}{4}+\frac{1}{10}\right)$$

Ko te maha noa iti rawa atu o 4 me 10 ko 20. Me tahuri \frac{5}{4} me \frac{1}{10} ki te hautau me te tautūnga 20.

$$-\frac{2}{5}-\left(\frac{25}{20}+\frac{2}{20}\right)$$

Tā te mea he rite te tauraro o \frac{25}{20} me \frac{2}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{2}{5}-\frac{25+2}{20}$$

Tāpirihia te 25 ki te 2, ka 27.

$$-\frac{2}{5}-\frac{27}{20}$$

Ko te maha noa iti rawa atu o 5 me 20 ko 20. Me tahuri -\frac{2}{5} me \frac{27}{20} ki te hautau me te tautūnga 20.

$$-\frac{8}{20}-\frac{27}{20}$$

Tā te mea he rite te tauraro o -\frac{8}{20} me \frac{27}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-8-27}{20}$$

Tangohia te 27 i te -8, ka -35.

$$\frac{-35}{20}$$

Whakahekea te hautanga \frac{-35}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{7}{4}$$

Tauwehe

$$-\frac{7}{4} = -1\frac{3}{4} = -1.75$$