Whakaoti i te {2/3div3/4-(4/9-1/3)}*frac{3}{5}

$$\{ \frac { 2 } { 3 } \div \frac { 3 } { 4 } - ( \frac { 4 } { 9 } - \frac { 1 } { 3 } ) \} \times \frac { 3 } { 5 }$$

Aromātai

$$\frac{7}{15}\approx 0.466666667$$

Ngā Upane Otinga

Whakawehe \frac{2}{3} ki te \frac{3}{4} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{3}{4}.

$$\left(\frac{2}{3}\times \frac{4}{3}-\left(\frac{4}{9}-\frac{1}{3}\right)\right)\times \frac{3}{5}$$

Me whakarea te \frac{2}{3} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\left(\frac{2\times 4}{3\times 3}-\left(\frac{4}{9}-\frac{1}{3}\right)\right)\times \frac{3}{5}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 4}{3\times 3}.

$$\left(\frac{8}{9}-\left(\frac{4}{9}-\frac{1}{3}\right)\right)\times \frac{3}{5}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{4}{9} me \frac{1}{3} ki te hautau me te tautūnga 9.

$$\left(\frac{8}{9}-\left(\frac{4}{9}-\frac{3}{9}\right)\right)\times \frac{3}{5}$$

Tā te mea he rite te tauraro o \frac{4}{9} me \frac{3}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{8}{9}-\frac{4-3}{9}\right)\times \frac{3}{5}$$

Tangohia te 3 i te 4, ka 1.

$$\left(\frac{8}{9}-\frac{1}{9}\right)\times \frac{3}{5}$$

Tā te mea he rite te tauraro o \frac{8}{9} me \frac{1}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-1}{9}\times \frac{3}{5}$$

Tangohia te 1 i te 8, ka 7.

$$\frac{7}{9}\times \frac{3}{5}$$

Me whakarea te \frac{7}{9} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 3}{9\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 3}{9\times 5}.

$$\frac{21}{45}$$

Whakahekea te hautanga \frac{21}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{7}{15}$$

Tauwehe

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$