Whakaoti i te 44/7+71/3+33/5

$$4 \frac { 4 } { 7 } + 7 \frac { 1 } { 3 } + 33 / 5$$

Aromātai

$$\frac{1943}{105}\approx 18.504761905$$

Ngā Upane Otinga

Whakareatia te 4 ki te 7, ka 28.

$$\frac{28+4}{7}+\frac{7\times 3+1}{3}+\frac{33}{5}$$

Tāpirihia te 28 ki te 4, ka 32.

$$\frac{32}{7}+\frac{7\times 3+1}{3}+\frac{33}{5}$$

Whakareatia te 7 ki te 3, ka 21.

$$\frac{32}{7}+\frac{21+1}{3}+\frac{33}{5}$$

Tāpirihia te 21 ki te 1, ka 22.

$$\frac{32}{7}+\frac{22}{3}+\frac{33}{5}$$

Ko te maha noa iti rawa atu o 7 me 3 ko 21. Me tahuri \frac{32}{7} me \frac{22}{3} ki te hautau me te tautūnga 21.

$$\frac{96}{21}+\frac{154}{21}+\frac{33}{5}$$

Tā te mea he rite te tauraro o \frac{96}{21} me \frac{154}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{96+154}{21}+\frac{33}{5}$$

Tāpirihia te 96 ki te 154, ka 250.

$$\frac{250}{21}+\frac{33}{5}$$

Ko te maha noa iti rawa atu o 21 me 5 ko 105. Me tahuri \frac{250}{21} me \frac{33}{5} ki te hautau me te tautūnga 105.

$$\frac{1250}{105}+\frac{693}{105}$$

Tā te mea he rite te tauraro o \frac{1250}{105} me \frac{693}{105}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1250+693}{105}$$

Tāpirihia te 1250 ki te 693, ka 1943.

$$\frac{1943}{105}$$

Tauwehe

$$\frac{29 \cdot 67}{3 \cdot 5 \cdot 7} = 18\frac{53}{105} = 18.504761904761907$$