Whakaoti i te 5/6*(7/4-3/8)+5/2=

$$\frac { 5 } { 6 } \cdot ( \frac { 7 } { 4 } - \frac { 3 } { 8 } ) + \frac { 5 } { 2 } =$$

Aromātai

$$\frac{175}{48}\approx 3.645833333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{7}{4} me \frac{3}{8} ki te hautau me te tautūnga 8.

$$\frac{5}{6}\left(\frac{14}{8}-\frac{3}{8}\right)+\frac{5}{2}$$

Tā te mea he rite te tauraro o \frac{14}{8} me \frac{3}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{6}\times \frac{14-3}{8}+\frac{5}{2}$$

Tangohia te 3 i te 14, ka 11.

$$\frac{5}{6}\times \frac{11}{8}+\frac{5}{2}$$

Me whakarea te \frac{5}{6} ki te \frac{11}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 11}{6\times 8}+\frac{5}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 11}{6\times 8}.

$$\frac{55}{48}+\frac{5}{2}$$

Ko te maha noa iti rawa atu o 48 me 2 ko 48. Me tahuri \frac{55}{48} me \frac{5}{2} ki te hautau me te tautūnga 48.

$$\frac{55}{48}+\frac{120}{48}$$

Tā te mea he rite te tauraro o \frac{55}{48} me \frac{120}{48}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{55+120}{48}$$

Tāpirihia te 55 ki te 120, ka 175.

$$\frac{175}{48}$$

Tauwehe

$$\frac{5 ^ {2} \cdot 7}{2 ^ {4} \cdot 3} = 3\frac{31}{48} = 3.6458333333333335$$