Whakaoti i te B=(102/9+23/5)-62/9

$$B = ( 10 \frac { 2 } { 9 } + 2 \frac { 3 } { 5 } ) - 6 \frac { 2 } { 9 }$$

Whakaoti mō B

$$B = \frac{33}{5} = 6\frac{3}{5} = 6.6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 10 ki te 9, ka 90.

$$B=\frac{90+2}{9}+\frac{2\times 5+3}{5}-\frac{6\times 9+2}{9}$$

Tāpirihia te 90 ki te 2, ka 92.

$$B=\frac{92}{9}+\frac{2\times 5+3}{5}-\frac{6\times 9+2}{9}$$

Whakareatia te 2 ki te 5, ka 10.

$$B=\frac{92}{9}+\frac{10+3}{5}-\frac{6\times 9+2}{9}$$

Tāpirihia te 10 ki te 3, ka 13.

$$B=\frac{92}{9}+\frac{13}{5}-\frac{6\times 9+2}{9}$$

Ko te maha noa iti rawa atu o 9 me 5 ko 45. Me tahuri \frac{92}{9} me \frac{13}{5} ki te hautau me te tautūnga 45.

$$B=\frac{460}{45}+\frac{117}{45}-\frac{6\times 9+2}{9}$$

Tā te mea he rite te tauraro o \frac{460}{45} me \frac{117}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$B=\frac{460+117}{45}-\frac{6\times 9+2}{9}$$

Tāpirihia te 460 ki te 117, ka 577.

$$B=\frac{577}{45}-\frac{6\times 9+2}{9}$$

Whakareatia te 6 ki te 9, ka 54.

$$B=\frac{577}{45}-\frac{54+2}{9}$$

Tāpirihia te 54 ki te 2, ka 56.

$$B=\frac{577}{45}-\frac{56}{9}$$

Ko te maha noa iti rawa atu o 45 me 9 ko 45. Me tahuri \frac{577}{45} me \frac{56}{9} ki te hautau me te tautūnga 45.

$$B=\frac{577}{45}-\frac{280}{45}$$

Tā te mea he rite te tauraro o \frac{577}{45} me \frac{280}{45}, me tango rāua mā te tango i ō raua taurunga.

$$B=\frac{577-280}{45}$$

Tangohia te 280 i te 577, ka 297.

$$B=\frac{297}{45}$$

Whakahekea te hautanga \frac{297}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$B=\frac{33}{5}$$

Tautapa B

$$B≔\frac{33}{5}$$