Whakaoti i te 3/4*5/6+7/8:9/2=

$$\frac { 3 } { 4 } \cdot \frac { 5 } { 6 } + \frac { 7 } { 8 } : \frac { 9 } { 2 } =$$

Aromātai

$$\frac{59}{72}\approx 0.819444444$$

Ngā Upane Otinga

Me whakarea te \frac{3}{4} ki te \frac{5}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\times 5}{4\times 6}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 5}{4\times 6}.

$$\frac{15}{24}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

Whakahekea te hautanga \frac{15}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{8}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

Whakawehe \frac{7}{8} ki te \frac{9}{2} mā te whakarea \frac{7}{8} ki te tau huripoki o \frac{9}{2}.

$$\frac{5}{8}+\frac{7}{8}\times \frac{2}{9}$$

Me whakarea te \frac{7}{8} ki te \frac{2}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{8}+\frac{7\times 2}{8\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 2}{8\times 9}.

$$\frac{5}{8}+\frac{14}{72}$$

Whakahekea te hautanga \frac{14}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{8}+\frac{7}{36}$$

Ko te maha noa iti rawa atu o 8 me 36 ko 72. Me tahuri \frac{5}{8} me \frac{7}{36} ki te hautau me te tautūnga 72.

$$\frac{45}{72}+\frac{14}{72}$$

Tā te mea he rite te tauraro o \frac{45}{72} me \frac{14}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{45+14}{72}$$

Tāpirihia te 45 ki te 14, ka 59.

$$\frac{59}{72}$$

Tauwehe

$$\frac{59}{2 ^ {3} \cdot 3 ^ {2}} = 0.8194444444444444$$