Whakaoti i te 105/90-1+12/90/frac{3{9}-24/90}

$$\frac{ \frac{ 105 }{ 90 } -1+ \frac{ 12 }{ 90 } }{ \frac{ 3 }{ 9 } - \frac{ 24 }{ 90 } }$$

Aromātai

$$\frac{9}{2}=4.5$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{105}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{\frac{7}{6}-1+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

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

$$\frac{\frac{7}{6}-\frac{6}{6}+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

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

$$\frac{\frac{7-6}{6}+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

Tangohia te 6 i te 7, ka 1.

$$\frac{\frac{1}{6}+\frac{12}{90}}{\frac{3}{9}-\frac{24}{90}}$$

Whakahekea te hautanga \frac{12}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{\frac{1}{6}+\frac{2}{15}}{\frac{3}{9}-\frac{24}{90}}$$

Ko te maha noa iti rawa atu o 6 me 15 ko 30. Me tahuri \frac{1}{6} me \frac{2}{15} ki te hautau me te tautūnga 30.

$$\frac{\frac{5}{30}+\frac{4}{30}}{\frac{3}{9}-\frac{24}{90}}$$

Tā te mea he rite te tauraro o \frac{5}{30} me \frac{4}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5+4}{30}}{\frac{3}{9}-\frac{24}{90}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{\frac{9}{30}}{\frac{3}{9}-\frac{24}{90}}$$

Whakahekea te hautanga \frac{9}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{3}{10}}{\frac{3}{9}-\frac{24}{90}}$$

Whakahekea te hautanga \frac{3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{3}{10}}{\frac{1}{3}-\frac{24}{90}}$$

Whakahekea te hautanga \frac{24}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{\frac{3}{10}}{\frac{1}{3}-\frac{4}{15}}$$

Ko te maha noa iti rawa atu o 3 me 15 ko 15. Me tahuri \frac{1}{3} me \frac{4}{15} ki te hautau me te tautūnga 15.

$$\frac{\frac{3}{10}}{\frac{5}{15}-\frac{4}{15}}$$

Tā te mea he rite te tauraro o \frac{5}{15} me \frac{4}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{3}{10}}{\frac{5-4}{15}}$$

Tangohia te 4 i te 5, ka 1.

$$\frac{\frac{3}{10}}{\frac{1}{15}}$$

Whakawehe \frac{3}{10} ki te \frac{1}{15} mā te whakarea \frac{3}{10} ki te tau huripoki o \frac{1}{15}.

$$\frac{3}{10}\times 15$$

Tuhia te \frac{3}{10}\times 15 hei hautanga kotahi.

$$\frac{3\times 15}{10}$$

Whakareatia te 3 ki te 15, ka 45.

$$\frac{45}{10}$$

Whakahekea te hautanga \frac{45}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{9}{2}$$

Tauwehe

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$