Whakaoti i te tan1/2|1/2+1/3-1/4|+|frac{1}{3}+frac{1}{2}-1|

$$\tan \frac { 1 } { 2 } | \frac { 1 } { 2 } + \frac { 1 } { 3 } - \frac { 1 } { 4 } | + | \frac { 1 } { 3 } + \frac { 1 } { 2 } - 1 |$$

Aromātai

$$\frac{128817940717701551}{750000000000000000}\approx 0.171757254$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$0.005090587623602068 + | \frac{1}{3} + \frac{1}{2} - 1 |$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$0.005090587623602068+|\frac{2}{6}+\frac{3}{6}-1|$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$0.005090587623602068+|\frac{2+3}{6}-1|$$

Tāpirihia te 2 ki te 3, ka 5.

$$0.005090587623602068+|\frac{5}{6}-1|$$

Me tahuri te 1 ki te hautau \frac{6}{6}.

$$0.005090587623602068+|\frac{5}{6}-\frac{6}{6}|$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{6}{6}, me tango rāua mā te tango i ō raua taurunga.

$$0.005090587623602068+|\frac{5-6}{6}|$$

Tangohia te 6 i te 5, ka -1.

$$0.005090587623602068+|-\frac{1}{6}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -\frac{1}{6} ko \frac{1}{6}.

$$0.005090587623602068+\frac{1}{6}$$

Me tahuri ki tau ā-ira 0.005090587623602068 ki te hautau \frac{1272646905900517}{10000000000}. Whakahekea te hautanga \frac{1272646905900517}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

$$\frac{1272646905900517}{250000000000000000}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 250000000000000000 me 6 ko 750000000000000000. Me tahuri \frac{1272646905900517}{250000000000000000} me \frac{1}{6} ki te hautau me te tautūnga 750000000000000000.

$$\frac{3817940717701551}{750000000000000000}+\frac{125000000000000000}{750000000000000000}$$

Tā te mea he rite te tauraro o \frac{3817940717701551}{750000000000000000} me \frac{125000000000000000}{750000000000000000}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3817940717701551+125000000000000000}{750000000000000000}$$

Tāpirihia te 3817940717701551 ki te 125000000000000000, ka 128817940717701551.

$$\frac{128817940717701551}{750000000000000000}$$

Tauwehe

$$\frac{27697 \cdot 4650970889183}{3 \cdot 2 ^ {16} \cdot 5 ^ {18}} = 0.17175725429026872$$