Whakaoti i te 1/5div2/5(1/2-1/4)-2frac{2}{3}div(-frac{2}{3})*(frac{1}{2})

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

Aromātai

$$\frac{17}{8}=2.125$$

Ngā Upane Otinga

Whakawehe \frac{1}{5} ki te \frac{2}{5} mā te whakarea \frac{1}{5} ki te tau huripoki o \frac{2}{5}.

$$\frac{1}{5}\times \frac{5}{2}\left(\frac{1}{2}-\frac{1}{4}\right)-\frac{\frac{2\times 3+2}{3}}{-\frac{2}{3}}\times \frac{1}{2}$$

Me whakarea te \frac{1}{5} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 5}{5\times 2}\left(\frac{1}{2}-\frac{1}{4}\right)-\frac{\frac{2\times 3+2}{3}}{-\frac{2}{3}}\times \frac{1}{2}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}\right)-\frac{\frac{2\times 3+2}{3}}{-\frac{2}{3}}\times \frac{1}{2}$$

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

$$\frac{1}{2}\left(\frac{2}{4}-\frac{1}{4}\right)-\frac{\frac{2\times 3+2}{3}}{-\frac{2}{3}}\times \frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{2}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 1 i te 2, ka 1.

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

Me whakarea te \frac{1}{2} ki te \frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{2\times 4}.

$$\frac{1}{8}-\frac{\frac{2\times 3+2}{3}}{-\frac{2}{3}}\times \frac{1}{2}$$

Whakawehe \frac{2\times 3+2}{3} ki te -\frac{2}{3} mā te whakarea \frac{2\times 3+2}{3} ki te tau huripoki o -\frac{2}{3}.

$$\frac{1}{8}-\frac{\left(2\times 3+2\right)\times 3}{3\left(-2\right)}\times \frac{1}{2}$$

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

$$\frac{1}{8}-\frac{2+2\times 3}{-2}\times \frac{1}{2}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{1}{8}-\frac{2+6}{-2}\times \frac{1}{2}$$

Tāpirihia te 2 ki te 6, ka 8.

$$\frac{1}{8}-\frac{8}{-2}\times \frac{1}{2}$$

Whakawehea te 8 ki te -2, kia riro ko -4.

$$\frac{1}{8}-\left(-4\times \frac{1}{2}\right)$$

Whakareatia te -4 ki te \frac{1}{2}, ka \frac{-4}{2}.

$$\frac{1}{8}-\frac{-4}{2}$$

Whakawehea te -4 ki te 2, kia riro ko -2.

$$\frac{1}{8}-\left(-2\right)$$

Ko te tauaro o -2 ko 2.

$$\frac{1}{8}+2$$

Me tahuri te 2 ki te hautau \frac{16}{8}.

$$\frac{1}{8}+\frac{16}{8}$$

Tā te mea he rite te tauraro o \frac{1}{8} me \frac{16}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+16}{8}$$

Tāpirihia te 1 ki te 16, ka 17.

$$\frac{17}{8}$$

Tauwehe

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$