Whakaoti i te 7/6+4/13(2/3-1/8)

$$\frac { 7 } { 6 } + \frac { 4 } { 13 } ( \frac { 2 } { 3 } - \frac { 1 } { 8 } )$$

Aromātai

$$\frac{4}{3}\approx 1.333333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{2}{3} me \frac{1}{8} ki te hautau me te tautūnga 24.

$$\frac{7}{6}+\frac{4}{13}\left(\frac{16}{24}-\frac{3}{24}\right)$$

Tā te mea he rite te tauraro o \frac{16}{24} me \frac{3}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7}{6}+\frac{4}{13}\times \frac{16-3}{24}$$

Tangohia te 3 i te 16, ka 13.

$$\frac{7}{6}+\frac{4}{13}\times \frac{13}{24}$$

Me whakarea te \frac{4}{13} ki te \frac{13}{24} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7}{6}+\frac{4\times 13}{13\times 24}$$

Me whakakore tahi te 13 i te taurunga me te tauraro.

$$\frac{7}{6}+\frac{4}{24}$$

Whakahekea te hautanga \frac{4}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{7}{6}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{7}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7+1}{6}$$

Tāpirihia te 7 ki te 1, ka 8.

$$\frac{8}{6}$$

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{3}$$

Tauwehe

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$