Whakaoti i te (2+2/7)(1+7/6)(2+2/3)*1/8=frac{3}{4}

$$( 2 + \frac { 2 } { 7 } ) ( 1 + \frac { 7 } { 6 } ) ( 2 + \frac { 2 } { 3 } ) \cdot \frac { 1 } { 8 } = \frac { 3 } { 4 }$$

Manatoko

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{14}{7}.

$$\left(\frac{14}{7}+\frac{2}{7}\right)\left(1+\frac{7}{6}\right)\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{14}{7} me \frac{2}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{14+2}{7}\left(1+\frac{7}{6}\right)\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Tāpirihia te 14 ki te 2, ka 16.

$$\frac{16}{7}\left(1+\frac{7}{6}\right)\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

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

$$\frac{16}{7}\left(\frac{6}{6}+\frac{7}{6}\right)\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

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

$$\frac{16}{7}\times \frac{6+7}{6}\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Tāpirihia te 6 ki te 7, ka 13.

$$\frac{16}{7}\times \frac{13}{6}\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Me whakarea te \frac{16}{7} ki te \frac{13}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{16\times 13}{7\times 6}\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Mahia ngā whakarea i roto i te hautanga \frac{16\times 13}{7\times 6}.

$$\frac{208}{42}\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Whakahekea te hautanga \frac{208}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{104}{21}\left(2+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{104}{21}\left(\frac{6}{3}+\frac{2}{3}\right)\times \frac{1}{8}=\frac{3}{4}$$

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

$$\frac{104}{21}\times \frac{6+2}{3}\times \frac{1}{8}=\frac{3}{4}$$

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{104}{21}\times \frac{8}{3}\times \frac{1}{8}=\frac{3}{4}$$

Me whakarea te \frac{104}{21} ki te \frac{8}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{104\times 8}{21\times 3}\times \frac{1}{8}=\frac{3}{4}$$

Mahia ngā whakarea i roto i te hautanga \frac{104\times 8}{21\times 3}.

$$\frac{832}{63}\times \frac{1}{8}=\frac{3}{4}$$

Me whakarea te \frac{832}{63} ki te \frac{1}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{832\times 1}{63\times 8}=\frac{3}{4}$$

Mahia ngā whakarea i roto i te hautanga \frac{832\times 1}{63\times 8}.

$$\frac{832}{504}=\frac{3}{4}$$

Whakahekea te hautanga \frac{832}{504} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{104}{63}=\frac{3}{4}$$

Ko te maha noa iti rawa atu o 63 me 4 ko 252. Me tahuri \frac{104}{63} me \frac{3}{4} ki te hautau me te tautūnga 252.

$$\frac{416}{252}=\frac{189}{252}$$

Whakatauritea te \frac{416}{252} me te \frac{189}{252}.

$$\text{false}$$