Whakaoti i te -3/5+11/5*2/3-3/4div(-1frac{1}{2})

$$- \frac { 3 } { 5 } + 1 \frac { 1 } { 5 } \times \frac { 2 } { 3 } - \frac { 3 } { 4 } \div ( - 1 \frac { 1 } { 2 } )$$

Aromātai

$$\frac{7}{10}=0.7$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

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

Tāpirihia te 5 ki te 1, ka 6.

$$-\frac{3}{5}+\frac{6}{5}\times \frac{2}{3}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Me whakarea te \frac{6}{5} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{3}{5}+\frac{6\times 2}{5\times 3}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{6\times 2}{5\times 3}.

$$-\frac{3}{5}+\frac{12}{15}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

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

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

Tā te mea he rite te tauraro o -\frac{3}{5} me \frac{4}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te -3 ki te 4, ka 1.

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

Whakareatia te 1 ki te 2, ka 2.

$$\frac{1}{5}-\frac{\frac{3}{4}}{-\frac{2+1}{2}}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{1}{5}-\frac{\frac{3}{4}}{-\frac{3}{2}}$$

Whakawehe \frac{3}{4} ki te -\frac{3}{2} mā te whakarea \frac{3}{4} ki te tau huripoki o -\frac{3}{2}.

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

Me whakarea te \frac{3}{4} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{5}-\frac{-2}{4}$$

Whakahekea te hautanga \frac{-2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.

$$\frac{1}{5}+\frac{1}{2}$$

Ko te maha noa iti rawa atu o 5 me 2 ko 10. Me tahuri \frac{1}{5} me \frac{1}{2} ki te hautau me te tautūnga 10.

$$\frac{2}{10}+\frac{5}{10}$$

Tā te mea he rite te tauraro o \frac{2}{10} me \frac{5}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+5}{10}$$

Tāpirihia te 2 ki te 5, ka 7.

$$\frac{7}{10}$$

Tauwehe

$$\frac{7}{2 \cdot 5} = 0.7$$