Whakaoti i te 4/55/13-045/13+3/5div16

$$\frac{ 4 }{ 5 } \frac{ 5 }{ 13 } -04 \frac{ 5 }{ 13 } + \frac{ 3 }{ 5 } \div 16$$

Aromātai

$$\frac{359}{1040}\approx 0.345192308$$

Ngā Upane Otinga

Me whakarea te \frac{4}{5} ki te \frac{5}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 5}{5\times 13}-0\times \frac{4\times 13+5}{13}+\frac{\frac{3}{5}}{16}$$

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

$$\frac{4}{13}-0\times \frac{4\times 13+5}{13}+\frac{\frac{3}{5}}{16}$$

Whakareatia te 4 ki te 13, ka 52.

$$\frac{4}{13}-0\times \frac{52+5}{13}+\frac{\frac{3}{5}}{16}$$

Tāpirihia te 52 ki te 5, ka 57.

$$\frac{4}{13}-0\times \frac{57}{13}+\frac{\frac{3}{5}}{16}$$

Whakareatia te 0 ki te \frac{57}{13}, ka 0.

$$\frac{4}{13}-0+\frac{\frac{3}{5}}{16}$$

Tangohia te 0 i te \frac{4}{13}, ka \frac{4}{13}.

$$\frac{4}{13}+\frac{\frac{3}{5}}{16}$$

Tuhia te \frac{\frac{3}{5}}{16} hei hautanga kotahi.

$$\frac{4}{13}+\frac{3}{5\times 16}$$

Whakareatia te 5 ki te 16, ka 80.

$$\frac{4}{13}+\frac{3}{80}$$

Ko te maha noa iti rawa atu o 13 me 80 ko 1040. Me tahuri \frac{4}{13} me \frac{3}{80} ki te hautau me te tautūnga 1040.

$$\frac{320}{1040}+\frac{39}{1040}$$

Tā te mea he rite te tauraro o \frac{320}{1040} me \frac{39}{1040}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{320+39}{1040}$$

Tāpirihia te 320 ki te 39, ka 359.

$$\frac{359}{1040}$$

Tauwehe

$$\frac{359}{2 ^ {4} \cdot 5 \cdot 13} = 0.3451923076923077$$