Whakaoti i te (21/2+32/3)(43/4+4)

$$( 2 \frac { 1 } { 2 } + 3 \frac { 2 } { 3 } ) ( 4 \frac { 3 } { 4 } + 4 )$$

Aromātai

$$\frac{1295}{24}\approx 53.958333333$$

Ngā Upane Otinga

Whakareatia te 2 ki te 2, ka 4.

$$\left(\frac{4+1}{2}+\frac{3\times 3+2}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

Tāpirihia te 4 ki te 1, ka 5.

$$\left(\frac{5}{2}+\frac{3\times 3+2}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

Whakareatia te 3 ki te 3, ka 9.

$$\left(\frac{5}{2}+\frac{9+2}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

Tāpirihia te 9 ki te 2, ka 11.

$$\left(\frac{5}{2}+\frac{11}{3}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{5}{2} me \frac{11}{3} ki te hautau me te tautūnga 6.

$$\left(\frac{15}{6}+\frac{22}{6}\right)\left(\frac{4\times 4+3}{4}+4\right)$$

Tā te mea he rite te tauraro o \frac{15}{6} me \frac{22}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15+22}{6}\left(\frac{4\times 4+3}{4}+4\right)$$

Tāpirihia te 15 ki te 22, ka 37.

$$\frac{37}{6}\left(\frac{4\times 4+3}{4}+4\right)$$

Whakareatia te 4 ki te 4, ka 16.

$$\frac{37}{6}\left(\frac{16+3}{4}+4\right)$$

Tāpirihia te 16 ki te 3, ka 19.

$$\frac{37}{6}\left(\frac{19}{4}+4\right)$$

Me tahuri te 4 ki te hautau \frac{16}{4}.

$$\frac{37}{6}\left(\frac{19}{4}+\frac{16}{4}\right)$$

Tā te mea he rite te tauraro o \frac{19}{4} me \frac{16}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{37}{6}\times \frac{19+16}{4}$$

Tāpirihia te 19 ki te 16, ka 35.

$$\frac{37}{6}\times \frac{35}{4}$$

Me whakarea te \frac{37}{6} ki te \frac{35}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{37\times 35}{6\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{37\times 35}{6\times 4}.

$$\frac{1295}{24}$$

Tauwehe

$$\frac{5 \cdot 7 \cdot 37}{2 ^ {3} \cdot 3} = 53\frac{23}{24} = 53.958333333333336$$