Whakaoti i te 3/4+2/5/frac{3{5}-1/2}=

$$\frac { \frac { 3 } { 4 } + \frac { 2 } { 5 } } { \frac { 3 } { 5 } - \frac { 1 } { 2 } } =$$

Aromātai

$$\frac{23}{2}=11.5$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{3}{4} me \frac{2}{5} ki te hautau me te tautūnga 20.

$$\frac{\frac{15}{20}+\frac{8}{20}}{\frac{3}{5}-\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{15}{20} me \frac{8}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{15+8}{20}}{\frac{3}{5}-\frac{1}{2}}$$

Tāpirihia te 15 ki te 8, ka 23.

$$\frac{\frac{23}{20}}{\frac{3}{5}-\frac{1}{2}}$$

Ko te maha noa iti rawa atu o 5 me 2 ko 10. Me tahuri \frac{3}{5} me \frac{1}{2} ki te hautau me te tautūnga 10.

$$\frac{\frac{23}{20}}{\frac{6}{10}-\frac{5}{10}}$$

Tā te mea he rite te tauraro o \frac{6}{10} me \frac{5}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{23}{20}}{\frac{6-5}{10}}$$

Tangohia te 5 i te 6, ka 1.

$$\frac{\frac{23}{20}}{\frac{1}{10}}$$

Whakawehe \frac{23}{20} ki te \frac{1}{10} mā te whakarea \frac{23}{20} ki te tau huripoki o \frac{1}{10}.

$$\frac{23}{20}\times 10$$

Tuhia te \frac{23}{20}\times 10 hei hautanga kotahi.

$$\frac{23\times 10}{20}$$

Whakareatia te 23 ki te 10, ka 230.

$$\frac{230}{20}$$

Whakahekea te hautanga \frac{230}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{23}{2}$$

Tauwehe

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$