Whakaoti i te 46/35*1frac{1{3}-51/2div32/3+37}=

$$\frac { 46 } { 35 \times 1 \frac { 1 } { 3 } - 5 \frac { 1 } { 2 } \div 3 \frac { 2 } { 3 } + 37 } =$$

Aromātai

$$\frac{276}{493}\approx 0.559837728$$

Ngā Upane Otinga

Whakareatia te 1 ki te 3, ka 3.

$$\frac{46}{35\times \frac{3+1}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{46}{35\times \frac{4}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Tuhia te 35\times \frac{4}{3} hei hautanga kotahi.

$$\frac{46}{\frac{35\times 4}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Whakareatia te 35 ki te 4, ka 140.

$$\frac{46}{\frac{140}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Whakawehe \frac{5\times 2+1}{2} ki te \frac{3\times 3+2}{3} mā te whakarea \frac{5\times 2+1}{2} ki te tau huripoki o \frac{3\times 3+2}{3}.

$$\frac{46}{\frac{140}{3}-\frac{\left(5\times 2+1\right)\times 3}{2\left(3\times 3+2\right)}+37}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{46}{\frac{140}{3}-\frac{\left(10+1\right)\times 3}{2\left(3\times 3+2\right)}+37}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{46}{\frac{140}{3}-\frac{11\times 3}{2\left(3\times 3+2\right)}+37}$$

Whakareatia te 11 ki te 3, ka 33.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\left(3\times 3+2\right)}+37}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\left(9+2\right)}+37}$$

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\times 11}+37}$$

Whakareatia te 2 ki te 11, ka 22.

$$\frac{46}{\frac{140}{3}-\frac{33}{22}+37}$$

Whakahekea te hautanga \frac{33}{22} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{46}{\frac{140}{3}-\frac{3}{2}+37}$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{140}{3} me \frac{3}{2} ki te hautau me te tautūnga 6.

$$\frac{46}{\frac{280}{6}-\frac{9}{6}+37}$$

Tā te mea he rite te tauraro o \frac{280}{6} me \frac{9}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{46}{\frac{280-9}{6}+37}$$

Tangohia te 9 i te 280, ka 271.

$$\frac{46}{\frac{271}{6}+37}$$

Me tahuri te 37 ki te hautau \frac{222}{6}.

$$\frac{46}{\frac{271}{6}+\frac{222}{6}}$$

Tā te mea he rite te tauraro o \frac{271}{6} me \frac{222}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{46}{\frac{271+222}{6}}$$

Tāpirihia te 271 ki te 222, ka 493.

$$\frac{46}{\frac{493}{6}}$$

Whakawehe 46 ki te \frac{493}{6} mā te whakarea 46 ki te tau huripoki o \frac{493}{6}.

$$46\times \frac{6}{493}$$

Tuhia te 46\times \frac{6}{493} hei hautanga kotahi.

$$\frac{46\times 6}{493}$$

Whakareatia te 46 ki te 6, ka 276.

$$\frac{276}{493}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 3 \cdot 23}{17 \cdot 29} = 0.5598377281947262$$