Whakaoti i te 1+1/3*3/5/frac{1{3}-3/5}

$$\frac { 1 + \frac { 1 } { 3 } \cdot \frac { 3 } { 5 } } { \frac { 1 } { 3 } - \frac { 3 } { 5 } }$$

Aromātai

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

Ngā Upane Otinga

Me whakarea te \frac{1}{3} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1+\frac{1\times 3}{3\times 5}}{\frac{1}{3}-\frac{3}{5}}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1+\frac{1}{5}}{\frac{1}{3}-\frac{3}{5}}$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$\frac{\frac{5}{5}+\frac{1}{5}}{\frac{1}{3}-\frac{3}{5}}$$

Tā te mea he rite te tauraro o \frac{5}{5} me \frac{1}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5+1}{5}}{\frac{1}{3}-\frac{3}{5}}$$

Tāpirihia te 5 ki te 1, ka 6.

$$\frac{\frac{6}{5}}{\frac{1}{3}-\frac{3}{5}}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{1}{3} me \frac{3}{5} ki te hautau me te tautūnga 15.

$$\frac{\frac{6}{5}}{\frac{5}{15}-\frac{9}{15}}$$

Tā te mea he rite te tauraro o \frac{5}{15} me \frac{9}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{6}{5}}{\frac{5-9}{15}}$$

Tangohia te 9 i te 5, ka -4.

$$\frac{\frac{6}{5}}{-\frac{4}{15}}$$

Whakawehe \frac{6}{5} ki te -\frac{4}{15} mā te whakarea \frac{6}{5} ki te tau huripoki o -\frac{4}{15}.

$$\frac{6}{5}\left(-\frac{15}{4}\right)$$

Me whakarea te \frac{6}{5} ki te -\frac{15}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{6\left(-15\right)}{5\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{6\left(-15\right)}{5\times 4}.

$$\frac{-90}{20}$$

Whakahekea te hautanga \frac{-90}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

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

Tauwehe

$$-\frac{9}{2} = -4\frac{1}{2} = -4.5$$