Whakaoti i te 0,32*3/40+3/5/0,2:2frac{1{2}-11/5}=

$$\frac { 0,32 \cdot \frac { 3 } { 40 } + \frac { 3 } { 5 } } { 0,2 : 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 5 } } =$$

Aromātai

$$-\frac{39}{70}\approx -0.557142857$$

Ngā Upane Otinga

Me tahuri ki tau ā-ira 0.32 ki te hautau \frac{32}{100}. Whakahekea te hautanga \frac{32}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{\frac{8}{25}\times \frac{3}{40}+\frac{3}{5}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Me whakarea te \frac{8}{25} ki te \frac{3}{40} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{8\times 3}{25\times 40}+\frac{3}{5}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{25\times 40}.

$$\frac{\frac{24}{1000}+\frac{3}{5}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Whakahekea te hautanga \frac{24}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{\frac{3}{125}+\frac{3}{5}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Ko te maha noa iti rawa atu o 125 me 5 ko 125. Me tahuri \frac{3}{125} me \frac{3}{5} ki te hautau me te tautūnga 125.

$$\frac{\frac{3}{125}+\frac{75}{125}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Tā te mea he rite te tauraro o \frac{3}{125} me \frac{75}{125}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3+75}{125}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Tāpirihia te 3 ki te 75, ka 78.

$$\frac{\frac{78}{125}}{\frac{0.2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Whakawehe 0.2 ki te \frac{2\times 2+1}{2} mā te whakarea 0.2 ki te tau huripoki o \frac{2\times 2+1}{2}.

$$\frac{\frac{78}{125}}{\frac{0.2\times 2}{2\times 2+1}-\frac{1\times 5+1}{5}}$$

Whakareatia te 0.2 ki te 2, ka 0.4.

$$\frac{\frac{78}{125}}{\frac{0.4}{2\times 2+1}-\frac{1\times 5+1}{5}}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{\frac{78}{125}}{\frac{0.4}{4+1}-\frac{1\times 5+1}{5}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{\frac{78}{125}}{\frac{0.4}{5}-\frac{1\times 5+1}{5}}$$

Whakarohaina te \frac{0.4}{5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{\frac{78}{125}}{\frac{4}{50}-\frac{1\times 5+1}{5}}$$

Whakahekea te hautanga \frac{4}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{1\times 5+1}{5}}$$

Whakareatia te 1 ki te 5, ka 5.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{5+1}{5}}$$

Tāpirihia te 5 ki te 1, ka 6.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{6}{5}}$$

Ko te maha noa iti rawa atu o 25 me 5 ko 25. Me tahuri \frac{2}{25} me \frac{6}{5} ki te hautau me te tautūnga 25.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{30}{25}}$$

Tā te mea he rite te tauraro o \frac{2}{25} me \frac{30}{25}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{78}{125}}{\frac{2-30}{25}}$$

Tangohia te 30 i te 2, ka -28.

$$\frac{\frac{78}{125}}{-\frac{28}{25}}$$

Whakawehe \frac{78}{125} ki te -\frac{28}{25} mā te whakarea \frac{78}{125} ki te tau huripoki o -\frac{28}{25}.

$$\frac{78}{125}\left(-\frac{25}{28}\right)$$

Me whakarea te \frac{78}{125} ki te -\frac{25}{28} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{78\left(-25\right)}{125\times 28}$$

Mahia ngā whakarea i roto i te hautanga \frac{78\left(-25\right)}{125\times 28}.

$$\frac{-1950}{3500}$$

Whakahekea te hautanga \frac{-1950}{3500} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 50.

$$-\frac{39}{70}$$

Tauwehe

$$-\frac{39}{70} = -0.5571428571428572$$