Whakaoti i te 37/15div11/12-38/15=

$$3 \frac { 7 } { 15 } \div 1 \frac { 1 } { 12 } - 3 \frac { 8 } { 15 } =$$

Aromātai

$$-\frac{1}{3}\approx -0.333333333$$

Ngā Upane Otinga

Whakawehe \frac{3\times 15+7}{15} ki te \frac{1\times 12+1}{12} mā te whakarea \frac{3\times 15+7}{15} ki te tau huripoki o \frac{1\times 12+1}{12}.

$$\frac{\left(3\times 15+7\right)\times 12}{15\left(1\times 12+1\right)}-\frac{3\times 15+8}{15}$$

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

$$\frac{4\left(7+3\times 15\right)}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

Whakareatia te 3 ki te 15, ka 45.

$$\frac{4\left(7+45\right)}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

Tāpirihia te 7 ki te 45, ka 52.

$$\frac{4\times 52}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

Whakareatia te 4 ki te 52, ka 208.

$$\frac{208}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

Tāpirihia te 1 ki te 12, ka 13.

$$\frac{208}{5\times 13}-\frac{3\times 15+8}{15}$$

Whakareatia te 5 ki te 13, ka 65.

$$\frac{208}{65}-\frac{3\times 15+8}{15}$$

Whakahekea te hautanga \frac{208}{65} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

$$\frac{16}{5}-\frac{3\times 15+8}{15}$$

Whakareatia te 3 ki te 15, ka 45.

$$\frac{16}{5}-\frac{45+8}{15}$$

Tāpirihia te 45 ki te 8, ka 53.

$$\frac{16}{5}-\frac{53}{15}$$

Ko te maha noa iti rawa atu o 5 me 15 ko 15. Me tahuri \frac{16}{5} me \frac{53}{15} ki te hautau me te tautūnga 15.

$$\frac{48}{15}-\frac{53}{15}$$

Tā te mea he rite te tauraro o \frac{48}{15} me \frac{53}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{48-53}{15}$$

Tangohia te 53 i te 48, ka -5.

$$\frac{-5}{15}$$

Whakahekea te hautanga \frac{-5}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Tauwehe

$$-\frac{1}{3} = -0.3333333333333333$$