Whakaoti i te lfloor(-7/15+9/9+1/5)div(7^2-1/2)rfloor+frac{251}{195}

$$\lfloor ( \frac{ -7 }{ 15 } + \frac{ 9 }{ 9 } + \frac{ 1 }{ 5 } ) \div ( { 7 }^{ 2 } \frac{ -1 }{ 2 } ) \rfloor + \frac{ 251 }{ 195 }$$

Aromātai

$$\frac{56}{195}\approx 0.287179487$$

Ngā Upane Otinga

Whakawehea te 9 ki te 9, kia riro ko 1.

$$\lfloor \frac{\frac{-7}{15}+1+\frac{1}{5}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Ka taea te hautanga \frac{-7}{15} te tuhi anō ko -\frac{7}{15} mā te tango i te tohu tōraro.

$$\lfloor \frac{-\frac{7}{15}+1+\frac{1}{5}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Me tahuri te 1 ki te hautau \frac{15}{15}.

$$\lfloor \frac{-\frac{7}{15}+\frac{15}{15}+\frac{1}{5}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Tā te mea he rite te tauraro o -\frac{7}{15} me \frac{15}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\lfloor \frac{\frac{-7+15}{15}+\frac{1}{5}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Tāpirihia te -7 ki te 15, ka 8.

$$\lfloor \frac{\frac{8}{15}+\frac{1}{5}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Ko te maha noa iti rawa atu o 15 me 5 ko 15. Me tahuri \frac{8}{15} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$\lfloor \frac{\frac{8}{15}+\frac{3}{15}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Tā te mea he rite te tauraro o \frac{8}{15} me \frac{3}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\lfloor \frac{\frac{8+3}{15}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\lfloor \frac{\frac{11}{15}}{7^{2}\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$\lfloor \frac{\frac{11}{15}}{49\times \frac{-1}{2}}\rfloor +\frac{251}{195}$$

Ka taea te hautanga \frac{-1}{2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

$$\lfloor \frac{\frac{11}{15}}{49\left(-\frac{1}{2}\right)}\rfloor +\frac{251}{195}$$

Tuhia te 49\left(-\frac{1}{2}\right) hei hautanga kotahi.

$$\lfloor \frac{\frac{11}{15}}{\frac{49\left(-1\right)}{2}}\rfloor +\frac{251}{195}$$

Whakareatia te 49 ki te -1, ka -49.

$$\lfloor \frac{\frac{11}{15}}{\frac{-49}{2}}\rfloor +\frac{251}{195}$$

Ka taea te hautanga \frac{-49}{2} te tuhi anō ko -\frac{49}{2} mā te tango i te tohu tōraro.

$$\lfloor \frac{\frac{11}{15}}{-\frac{49}{2}}\rfloor +\frac{251}{195}$$

Whakawehe \frac{11}{15} ki te -\frac{49}{2} mā te whakarea \frac{11}{15} ki te tau huripoki o -\frac{49}{2}.

$$\lfloor \frac{11}{15}\left(-\frac{2}{49}\right)\rfloor +\frac{251}{195}$$

Me whakarea te \frac{11}{15} ki te -\frac{2}{49} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\lfloor \frac{11\left(-2\right)}{15\times 49}\rfloor +\frac{251}{195}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\left(-2\right)}{15\times 49}.

$$\lfloor \frac{-22}{735}\rfloor +\frac{251}{195}$$

Ka taea te hautanga \frac{-22}{735} te tuhi anō ko -\frac{22}{735} mā te tango i te tohu tōraro.

$$\lfloor -\frac{22}{735}\rfloor +\frac{251}{195}$$

Ka ritua te -22 mā te 735 ka puta ko -1 me te toenga 713. Tuhia anō te -\frac{22}{735} hei -1+\frac{713}{735}.

$$\lfloor -1+\frac{713}{735}\rfloor +\frac{251}{195}$$

Ko te papa o tētahi tau tūturu a ko te tau tōpū tino nui rawa he iti iho, he ōrite rānei ki a. Ko te papa o -1+\frac{713}{735} ko -1.

$$-1+\frac{251}{195}$$

Me tahuri te -1 ki te hautau -\frac{195}{195}.

$$-\frac{195}{195}+\frac{251}{195}$$

Tā te mea he rite te tauraro o -\frac{195}{195} me \frac{251}{195}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-195+251}{195}$$

Tāpirihia te -195 ki te 251, ka 56.

$$\frac{56}{195}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 7}{3 \cdot 5 \cdot 13} = 0.28717948717948716$$