Whakaoti i te =[15/7-8/49div3.5]*28/3

$$= [ \frac { 15 } { 7 } - \frac { 8 } { 49 } \div 3.5 ] \times \frac { 28 } { 3 }$$

Aromātai

$$\frac{2876}{147}\approx 19.56462585$$

Ngā Upane Otinga

Tuhia te \frac{\frac{8}{49}}{3.5} hei hautanga kotahi.

$$\left(\frac{15}{7}-\frac{8}{49\times 3.5}\right)\times \frac{28}{3}$$

Whakareatia te 49 ki te 3.5, ka 171.5.

$$\left(\frac{15}{7}-\frac{8}{171.5}\right)\times \frac{28}{3}$$

Whakarohaina te \frac{8}{171.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\left(\frac{15}{7}-\frac{80}{1715}\right)\times \frac{28}{3}$$

Whakahekea te hautanga \frac{80}{1715} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\left(\frac{15}{7}-\frac{16}{343}\right)\times \frac{28}{3}$$

Ko te maha noa iti rawa atu o 7 me 343 ko 343. Me tahuri \frac{15}{7} me \frac{16}{343} ki te hautau me te tautūnga 343.

$$\left(\frac{735}{343}-\frac{16}{343}\right)\times \frac{28}{3}$$

Tā te mea he rite te tauraro o \frac{735}{343} me \frac{16}{343}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{735-16}{343}\times \frac{28}{3}$$

Tangohia te 16 i te 735, ka 719.

$$\frac{719}{343}\times \frac{28}{3}$$

Me whakarea te \frac{719}{343} ki te \frac{28}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{719\times 28}{343\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{719\times 28}{343\times 3}.

$$\frac{20132}{1029}$$

Whakahekea te hautanga \frac{20132}{1029} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{2876}{147}$$

Tauwehe

$$\frac{719 \cdot 2 ^ {2}}{3 \cdot 7 ^ {2}} = 19\frac{83}{147} = 19.564625850340136$$