Whakaoti i te =[15*7*8+1/2*22/7*7/2*7/2*15]_{m}

$$= [ 15 \times 7 \times 8 + \frac { 1 } { 2 } \times \frac { 22 } { 7 } \times \frac { 7 } { 2 } \times \frac { 7 } { 2 } \times 15 ] _ { m }$$

Aromātai

$$\frac{4515}{4}=1128.75$$

Ngā Upane Otinga

Whakareatia te 15 ki te 7, ka 105.

$$105\times 8+\frac{1}{2}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 15$$

Whakareatia te 105 ki te 8, ka 840.

$$840+\frac{1}{2}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 15$$

Me whakarea te \frac{1}{2} ki te \frac{22}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$840+\frac{1\times 22}{2\times 7}\times \frac{7}{2}\times \frac{7}{2}\times 15$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 22}{2\times 7}.

$$840+\frac{22}{14}\times \frac{7}{2}\times \frac{7}{2}\times 15$$

Whakahekea te hautanga \frac{22}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$840+\frac{11}{7}\times \frac{7}{2}\times \frac{7}{2}\times 15$$

Me whakarea te \frac{11}{7} ki te \frac{7}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$840+\frac{11\times 7}{7\times 2}\times \frac{7}{2}\times 15$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$840+\frac{11}{2}\times \frac{7}{2}\times 15$$

Me whakarea te \frac{11}{2} ki te \frac{7}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$840+\frac{11\times 7}{2\times 2}\times 15$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 7}{2\times 2}.

$$840+\frac{77}{4}\times 15$$

Tuhia te \frac{77}{4}\times 15 hei hautanga kotahi.

$$840+\frac{77\times 15}{4}$$

Whakareatia te 77 ki te 15, ka 1155.

$$840+\frac{1155}{4}$$

Me tahuri te 840 ki te hautau \frac{3360}{4}.

$$\frac{3360}{4}+\frac{1155}{4}$$

Tā te mea he rite te tauraro o \frac{3360}{4} me \frac{1155}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3360+1155}{4}$$

Tāpirihia te 3360 ki te 1155, ka 4515.

$$\frac{4515}{4}$$

Tauwehe

$$\frac{3 \cdot 5 \cdot 7 \cdot 43}{2 ^ {2}} = 1128\frac{3}{4} = 1128.75$$