Whakaoti i te (1/2+1/3)div11/4-1/5

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

Aromātai

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

Ngā Upane Otinga

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

$$\frac{\frac{3}{6}+\frac{2}{6}}{\frac{1\times 4+1}{4}}-\frac{1}{5}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{2}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3+2}{6}}{\frac{1\times 4+1}{4}}-\frac{1}{5}$$

Tāpirihia te 3 ki te 2, ka 5.

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

Whakareatia te 1 ki te 4, ka 4.

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

Tāpirihia te 4 ki te 1, ka 5.

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

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

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

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

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

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

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

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{2}{3} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$\frac{10}{15}-\frac{3}{15}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{3}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-3}{15}$$

Tangohia te 3 i te 10, ka 7.

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

Tauwehe

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