Whakaoti i te 18-33-45:375/56:2frac{1{3}+25}

$$18 - \frac { 33 - 45 : 375 } { 56 : 2 \frac { 1 } { 3 } + 25 }$$

Aromātai

$$\frac{21228}{1225}\approx 17.328979592$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{45}{375} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$18-\frac{33-\frac{3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Me tahuri te 33 ki te hautau \frac{825}{25}.

$$18-\frac{\frac{825}{25}-\frac{3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Tā te mea he rite te tauraro o \frac{825}{25} me \frac{3}{25}, me tango rāua mā te tango i ō raua taurunga.

$$18-\frac{\frac{825-3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Tangohia te 3 i te 825, ka 822.

$$18-\frac{\frac{822}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

Whakawehe 56 ki te \frac{2\times 3+1}{3} mā te whakarea 56 ki te tau huripoki o \frac{2\times 3+1}{3}.

$$18-\frac{\frac{822}{25}}{\frac{56\times 3}{2\times 3+1}+25}$$

Whakareatia te 56 ki te 3, ka 168.

$$18-\frac{\frac{822}{25}}{\frac{168}{2\times 3+1}+25}$$

Whakareatia te 2 ki te 3, ka 6.

$$18-\frac{\frac{822}{25}}{\frac{168}{6+1}+25}$$

Tāpirihia te 6 ki te 1, ka 7.

$$18-\frac{\frac{822}{25}}{\frac{168}{7}+25}$$

Whakawehea te 168 ki te 7, kia riro ko 24.

$$18-\frac{\frac{822}{25}}{24+25}$$

Tāpirihia te 24 ki te 25, ka 49.

$$18-\frac{\frac{822}{25}}{49}$$

Tuhia te \frac{\frac{822}{25}}{49} hei hautanga kotahi.

$$18-\frac{822}{25\times 49}$$

Whakareatia te 25 ki te 49, ka 1225.

$$18-\frac{822}{1225}$$

Me tahuri te 18 ki te hautau \frac{22050}{1225}.

$$\frac{22050}{1225}-\frac{822}{1225}$$

Tā te mea he rite te tauraro o \frac{22050}{1225} me \frac{822}{1225}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{22050-822}{1225}$$

Tangohia te 822 i te 22050, ka 21228.

$$\frac{21228}{1225}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 3 \cdot 29 \cdot 61}{5 ^ {2} \cdot 7 ^ {2}} = 17\frac{403}{1225} = 17.328979591836735$$