Whakaoti i te (2/15+15):(12/3-24/5)=

$$( \frac { 2 } { 15 } + 15 ) : ( 1 \frac { 2 } { 3 } - 2 \frac { 4 } { 5 } ) =$$

Aromātai

$$-\frac{227}{17}\approx -13.352941176$$

Ngā Upane Otinga

Me tahuri te 15 ki te hautau \frac{225}{15}.

$$\frac{\frac{2}{15}+\frac{225}{15}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

Tā te mea he rite te tauraro o \frac{2}{15} me \frac{225}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{2+225}{15}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

Tāpirihia te 2 ki te 225, ka 227.

$$\frac{\frac{227}{15}}{\frac{1\times 3+2}{3}-\frac{2\times 5+4}{5}}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{\frac{227}{15}}{\frac{3+2}{3}-\frac{2\times 5+4}{5}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{227}{15}}{\frac{5}{3}-\frac{2\times 5+4}{5}}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{\frac{227}{15}}{\frac{5}{3}-\frac{10+4}{5}}$$

Tāpirihia te 10 ki te 4, ka 14.

$$\frac{\frac{227}{15}}{\frac{5}{3}-\frac{14}{5}}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{5}{3} me \frac{14}{5} ki te hautau me te tautūnga 15.

$$\frac{\frac{227}{15}}{\frac{25}{15}-\frac{42}{15}}$$

Tā te mea he rite te tauraro o \frac{25}{15} me \frac{42}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{227}{15}}{\frac{25-42}{15}}$$

Tangohia te 42 i te 25, ka -17.

$$\frac{\frac{227}{15}}{-\frac{17}{15}}$$

Whakawehe \frac{227}{15} ki te -\frac{17}{15} mā te whakarea \frac{227}{15} ki te tau huripoki o -\frac{17}{15}.

$$\frac{227}{15}\left(-\frac{15}{17}\right)$$

Me whakarea te \frac{227}{15} ki te -\frac{15}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{227\left(-15\right)}{15\times 17}$$

Mahia ngā whakarea i roto i te hautanga \frac{227\left(-15\right)}{15\times 17}.

$$\frac{-3405}{255}$$

Whakahekea te hautanga \frac{-3405}{255} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$-\frac{227}{17}$$

Tauwehe

$$-\frac{227}{17} = -13\frac{6}{17} = -13.352941176470589$$