Whakaoti i te (1/2+1/3)-(1/5+5/7)

$$( \frac { 1 } { 2 } + \frac { 1 } { 3 } ) - ( \frac { 1 } { 5 } + \frac { 5 } { 7 } )$$

Aromātai

$$-\frac{17}{210}\approx -0.080952381$$

Ngā Upane Otinga

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

$$\frac{3}{6}+\frac{2}{6}-\left(\frac{1}{5}+\frac{5}{7}\right)$$

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

$$\frac{3+2}{6}-\left(\frac{1}{5}+\frac{5}{7}\right)$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{5}{6}-\left(\frac{1}{5}+\frac{5}{7}\right)$$

Ko te maha noa iti rawa atu o 5 me 7 ko 35. Me tahuri \frac{1}{5} me \frac{5}{7} ki te hautau me te tautūnga 35.

$$\frac{5}{6}-\left(\frac{7}{35}+\frac{25}{35}\right)$$

Tā te mea he rite te tauraro o \frac{7}{35} me \frac{25}{35}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{6}-\frac{7+25}{35}$$

Tāpirihia te 7 ki te 25, ka 32.

$$\frac{5}{6}-\frac{32}{35}$$

Ko te maha noa iti rawa atu o 6 me 35 ko 210. Me tahuri \frac{5}{6} me \frac{32}{35} ki te hautau me te tautūnga 210.

$$\frac{175}{210}-\frac{192}{210}$$

Tā te mea he rite te tauraro o \frac{175}{210} me \frac{192}{210}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{175-192}{210}$$

Tangohia te 192 i te 175, ka -17.

$$-\frac{17}{210}$$

Tauwehe

$$-\frac{17}{210} = -0.08095238095238096$$