Whakaoti i te (1/5-3/5)div(4/3-1/2)

$$( \frac { 1 } { 5 } - \frac { 3 } { 5 } ) \div ( \frac { 4 } { 3 } - \frac { 1 } { 2 } )$$

Aromātai

$$-\frac{12}{25}=-0.48$$

Ngā Upane Otinga

Tā te mea he rite te tauraro o \frac{1}{5} me \frac{3}{5}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 3 i te 1, ka -2.

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

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{4}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{-\frac{2}{5}}{\frac{8}{6}-\frac{3}{6}}$$

Tā te mea he rite te tauraro o \frac{8}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{2}{5}}{\frac{8-3}{6}}$$

Tangohia te 3 i te 8, ka 5.

$$\frac{-\frac{2}{5}}{\frac{5}{6}}$$

Whakawehe -\frac{2}{5} ki te \frac{5}{6} mā te whakarea -\frac{2}{5} ki te tau huripoki o \frac{5}{6}.

$$-\frac{2}{5}\times \frac{6}{5}$$

Me whakarea te -\frac{2}{5} ki te \frac{6}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-2\times 6}{5\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{-2\times 6}{5\times 5}.

$$\frac{-12}{25}$$

Ka taea te hautanga \frac{-12}{25} te tuhi anō ko -\frac{12}{25} mā te tango i te tohu tōraro.

$$-\frac{12}{25}$$

Tauwehe

$$-\frac{12}{25} = -0.48$$