Whakaoti i te 35/6+43/4-5-13/8

$$3 \frac { 5 } { 6 } + 4 \frac { 3 } { 4 } - 5 - 1 \frac { 3 } { 8 }$$

Aromātai

$$\frac{53}{24}\approx 2.208333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 6, ka 18.

$$\frac{18+5}{6}+\frac{4\times 4+3}{4}-5-\frac{1\times 8+3}{8}$$

Tāpirihia te 18 ki te 5, ka 23.

$$\frac{23}{6}+\frac{4\times 4+3}{4}-5-\frac{1\times 8+3}{8}$$

Whakareatia te 4 ki te 4, ka 16.

$$\frac{23}{6}+\frac{16+3}{4}-5-\frac{1\times 8+3}{8}$$

Tāpirihia te 16 ki te 3, ka 19.

$$\frac{23}{6}+\frac{19}{4}-5-\frac{1\times 8+3}{8}$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{23}{6} me \frac{19}{4} ki te hautau me te tautūnga 12.

$$\frac{46}{12}+\frac{57}{12}-5-\frac{1\times 8+3}{8}$$

Tā te mea he rite te tauraro o \frac{46}{12} me \frac{57}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{46+57}{12}-5-\frac{1\times 8+3}{8}$$

Tāpirihia te 46 ki te 57, ka 103.

$$\frac{103}{12}-5-\frac{1\times 8+3}{8}$$

Me tahuri te 5 ki te hautau \frac{60}{12}.

$$\frac{103}{12}-\frac{60}{12}-\frac{1\times 8+3}{8}$$

Tā te mea he rite te tauraro o \frac{103}{12} me \frac{60}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{103-60}{12}-\frac{1\times 8+3}{8}$$

Tangohia te 60 i te 103, ka 43.

$$\frac{43}{12}-\frac{1\times 8+3}{8}$$

Whakareatia te 1 ki te 8, ka 8.

$$\frac{43}{12}-\frac{8+3}{8}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{43}{12}-\frac{11}{8}$$

Ko te maha noa iti rawa atu o 12 me 8 ko 24. Me tahuri \frac{43}{12} me \frac{11}{8} ki te hautau me te tautūnga 24.

$$\frac{86}{24}-\frac{33}{24}$$

Tā te mea he rite te tauraro o \frac{86}{24} me \frac{33}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{86-33}{24}$$

Tangohia te 33 i te 86, ka 53.

$$\frac{53}{24}$$

Tauwehe

$$\frac{53}{2 ^ {3} \cdot 3} = 2\frac{5}{24} = 2.2083333333333335$$