Whakaoti i te 375+91/5+(-33/8)+(-42)

$$375 + 9 \frac { 1 } { 5 } + ( - 3 \frac { 3 } { 8 } ) + ( - 42 )$$

Aromātai

$$\frac{13553}{40}=338.825$$

Ngā Upane Otinga

Whakareatia te 9 ki te 5, ka 45.

$$375+\frac{45+1}{5}-\frac{3\times 8+3}{8}-42$$

Tāpirihia te 45 ki te 1, ka 46.

$$375+\frac{46}{5}-\frac{3\times 8+3}{8}-42$$

Me tahuri te 375 ki te hautau \frac{1875}{5}.

$$\frac{1875}{5}+\frac{46}{5}-\frac{3\times 8+3}{8}-42$$

Tā te mea he rite te tauraro o \frac{1875}{5} me \frac{46}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1875+46}{5}-\frac{3\times 8+3}{8}-42$$

Tāpirihia te 1875 ki te 46, ka 1921.

$$\frac{1921}{5}-\frac{3\times 8+3}{8}-42$$

Whakareatia te 3 ki te 8, ka 24.

$$\frac{1921}{5}-\frac{24+3}{8}-42$$

Tāpirihia te 24 ki te 3, ka 27.

$$\frac{1921}{5}-\frac{27}{8}-42$$

Ko te maha noa iti rawa atu o 5 me 8 ko 40. Me tahuri \frac{1921}{5} me \frac{27}{8} ki te hautau me te tautūnga 40.

$$\frac{15368}{40}-\frac{135}{40}-42$$

Tā te mea he rite te tauraro o \frac{15368}{40} me \frac{135}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15368-135}{40}-42$$

Tangohia te 135 i te 15368, ka 15233.

$$\frac{15233}{40}-42$$

Me tahuri te 42 ki te hautau \frac{1680}{40}.

$$\frac{15233}{40}-\frac{1680}{40}$$

Tā te mea he rite te tauraro o \frac{15233}{40} me \frac{1680}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15233-1680}{40}$$

Tangohia te 1680 i te 15233, ka 13553.

$$\frac{13553}{40}$$

Tauwehe

$$\frac{13553}{2 ^ {3} \cdot 5} = 338\frac{33}{40} = 338.825$$