Whakaoti i te 5/6div2/3-4/9*3/8

$$\frac{ 5 }{ 6 } \div \frac{ 2 }{ 3 } - \frac{ 4 }{ 9 } \times \frac{ 3 }{ 8 }$$

Aromātai

$$\frac{13}{12}\approx 1.083333333$$

Ngā Upane Otinga

Whakawehe \frac{5}{6} ki te \frac{2}{3} mā te whakarea \frac{5}{6} ki te tau huripoki o \frac{2}{3}.

$$\frac{5}{6}\times \frac{3}{2}-\frac{4}{9}\times \frac{3}{8}$$

Me whakarea te \frac{5}{6} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 3}{6\times 2}-\frac{4}{9}\times \frac{3}{8}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 3}{6\times 2}.

$$\frac{15}{12}-\frac{4}{9}\times \frac{3}{8}$$

Whakahekea te hautanga \frac{15}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{4}-\frac{4}{9}\times \frac{3}{8}$$

Me whakarea te \frac{4}{9} ki te \frac{3}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{4}-\frac{4\times 3}{9\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 3}{9\times 8}.

$$\frac{5}{4}-\frac{12}{72}$$

Whakahekea te hautanga \frac{12}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{5}{4}-\frac{1}{6}$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{5}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$\frac{15}{12}-\frac{2}{12}$$

Tā te mea he rite te tauraro o \frac{15}{12} me \frac{2}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-2}{12}$$

Tangohia te 2 i te 15, ka 13.

$$\frac{13}{12}$$

Tauwehe

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$