Whakaoti i te A=3/7+1/7*(5+1/2)

$$A = \frac { 3 } { 7 } + \frac { 1 } { 7 } \times ( 5 + \frac { 1 } { 2 } )$$

Whakaoti mō A

$$A = \frac{17}{14} = 1\frac{3}{14} \approx 1.214285714$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tahuri te 5 ki te hautau \frac{10}{2}.

$$A=\frac{3}{7}+\frac{1}{7}\left(\frac{10}{2}+\frac{1}{2}\right)$$

Tā te mea he rite te tauraro o \frac{10}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$A=\frac{3}{7}+\frac{1}{7}\times \frac{10+1}{2}$$

Tāpirihia te 10 ki te 1, ka 11.

$$A=\frac{3}{7}+\frac{1}{7}\times \frac{11}{2}$$

Me whakarea te \frac{1}{7} ki te \frac{11}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$A=\frac{3}{7}+\frac{1\times 11}{7\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 11}{7\times 2}.

$$A=\frac{3}{7}+\frac{11}{14}$$

Ko te maha noa iti rawa atu o 7 me 14 ko 14. Me tahuri \frac{3}{7} me \frac{11}{14} ki te hautau me te tautūnga 14.

$$A=\frac{6}{14}+\frac{11}{14}$$

Tā te mea he rite te tauraro o \frac{6}{14} me \frac{11}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$A=\frac{6+11}{14}$$

Tāpirihia te 6 ki te 11, ka 17.

$$A=\frac{17}{14}$$

Tautapa A

$$A≔\frac{17}{14}$$