Whakaoti i te {[33/4div(3/4-1)+(1-06)*(-5/2)^2]div(-5/3)-20}div(-1)^39

$$\{ [ 3 \frac { 3 } { 4 } \div ( \frac { 3 } { 4 } - 1 ) + ( 1 - 06 ) \times ( - \frac { 5 } { 2 } ) ^ { 2 } ] \div ( - \frac { 5 } { 3 } ) - 20 \} \div ( - 1 ) ^ { 39 }$$

Aromātai

$$\frac{59}{4}=14.75$$

Ngā Upane Otinga

Whakareatia te 3 ki te 4, ka 12.

$$\frac{\frac{\frac{\frac{12+3}{4}}{\frac{3}{4}-1}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tāpirihia te 12 ki te 3, ka 15.

$$\frac{\frac{\frac{\frac{15}{4}}{\frac{3}{4}-1}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$\frac{\frac{\frac{\frac{15}{4}}{\frac{3}{4}-\frac{4}{4}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

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

$$\frac{\frac{\frac{\frac{15}{4}}{\frac{3-4}{4}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tangohia te 4 i te 3, ka -1.

$$\frac{\frac{\frac{\frac{15}{4}}{-\frac{1}{4}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Whakawehe \frac{15}{4} ki te -\frac{1}{4} mā te whakarea \frac{15}{4} ki te tau huripoki o -\frac{1}{4}.

$$\frac{\frac{\frac{15}{4}\left(-4\right)+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tuhia te \frac{15}{4}\left(-4\right) hei hautanga kotahi.

$$\frac{\frac{\frac{15\left(-4\right)}{4}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Whakareatia te 15 ki te -4, ka -60.

$$\frac{\frac{\frac{-60}{4}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Whakawehea te -60 ki te 4, kia riro ko -15.

$$\frac{\frac{-15+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Whakareatia te 0 ki te 6, ka 0.

$$\frac{\frac{-15+\left(1-0\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tangohia te 0 i te 1, ka 1.

$$\frac{\frac{-15+1\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tātaihia te -\frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.

$$\frac{\frac{-15+1\times \frac{25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Whakareatia te 1 ki te \frac{25}{4}, ka \frac{25}{4}.

$$\frac{\frac{-15+\frac{25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Me tahuri te -15 ki te hautau -\frac{60}{4}.

$$\frac{\frac{-\frac{60}{4}+\frac{25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tā te mea he rite te tauraro o -\frac{60}{4} me \frac{25}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{\frac{-60+25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Tāpirihia te -60 ki te 25, ka -35.

$$\frac{\frac{-\frac{35}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

Whakawehe -\frac{35}{4} ki te -\frac{5}{3} mā te whakarea -\frac{35}{4} ki te tau huripoki o -\frac{5}{3}.

$$\frac{-\frac{35}{4}\left(-\frac{3}{5}\right)-20}{\left(-1\right)^{39}}$$

Me whakarea te -\frac{35}{4} ki te -\frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{-35\left(-3\right)}{4\times 5}-20}{\left(-1\right)^{39}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-35\left(-3\right)}{4\times 5}.

$$\frac{\frac{105}{20}-20}{\left(-1\right)^{39}}$$

Whakahekea te hautanga \frac{105}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{21}{4}-20}{\left(-1\right)^{39}}$$

Me tahuri te 20 ki te hautau \frac{80}{4}.

$$\frac{\frac{21}{4}-\frac{80}{4}}{\left(-1\right)^{39}}$$

Tā te mea he rite te tauraro o \frac{21}{4} me \frac{80}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{21-80}{4}}{\left(-1\right)^{39}}$$

Tangohia te 80 i te 21, ka -59.

$$\frac{-\frac{59}{4}}{\left(-1\right)^{39}}$$

Tātaihia te -1 mā te pū o 39, kia riro ko -1.

$$\frac{-\frac{59}{4}}{-1}$$

Tuhia te \frac{-\frac{59}{4}}{-1} hei hautanga kotahi.

$$\frac{-59}{4\left(-1\right)}$$

Whakareatia te 4 ki te -1, ka -4.

$$\frac{-59}{-4}$$

Ka taea te hautanga \frac{-59}{-4} te whakamāmā ki te \frac{59}{4} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$\frac{59}{4}$$

Tauwehe

$$\frac{59}{2 ^ {2}} = 14\frac{3}{4} = 14.75$$