Whakaoti i te 3/4+5/8/frac{3{5}(1/4+frac{2}{3})}

$$\frac { \frac { 3 } { 4 } + \frac { 5 } { 8 } } { \frac { 3 } { 5 } ( \frac { 1 } { 4 } + \frac { 2 } { 3 } ) }$$

Aromātai

$$\frac{5}{2}=2.5$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{3}{4} me \frac{5}{8} ki te hautau me te tautūnga 8.

$$\frac{\frac{6}{8}+\frac{5}{8}}{\frac{3}{5}\left(\frac{1}{4}+\frac{2}{3}\right)}$$

Tā te mea he rite te tauraro o \frac{6}{8} me \frac{5}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{6+5}{8}}{\frac{3}{5}\left(\frac{1}{4}+\frac{2}{3}\right)}$$

Tāpirihia te 6 ki te 5, ka 11.

$$\frac{\frac{11}{8}}{\frac{3}{5}\left(\frac{1}{4}+\frac{2}{3}\right)}$$

Ko te maha noa iti rawa atu o 4 me 3 ko 12. Me tahuri \frac{1}{4} me \frac{2}{3} ki te hautau me te tautūnga 12.

$$\frac{\frac{11}{8}}{\frac{3}{5}\left(\frac{3}{12}+\frac{8}{12}\right)}$$

Tā te mea he rite te tauraro o \frac{3}{12} me \frac{8}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{11}{8}}{\frac{3}{5}\times \frac{3+8}{12}}$$

Tāpirihia te 3 ki te 8, ka 11.

$$\frac{\frac{11}{8}}{\frac{3}{5}\times \frac{11}{12}}$$

Me whakarea te \frac{3}{5} ki te \frac{11}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{11}{8}}{\frac{3\times 11}{5\times 12}}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 11}{5\times 12}.

$$\frac{\frac{11}{8}}{\frac{33}{60}}$$

Whakahekea te hautanga \frac{33}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{11}{8}}{\frac{11}{20}}$$

Whakawehe \frac{11}{8} ki te \frac{11}{20} mā te whakarea \frac{11}{8} ki te tau huripoki o \frac{11}{20}.

$$\frac{11}{8}\times \frac{20}{11}$$

Me whakarea te \frac{11}{8} ki te \frac{20}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 20}{8\times 11}$$

Me whakakore tahi te 11 i te taurunga me te tauraro.

$$\frac{20}{8}$$

Whakahekea te hautanga \frac{20}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{5}{2}$$

Tauwehe

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$