Whakaoti i te (7)-14/21div(-11/14)*1/2+(-1/3)

$$( 7 ) - 1 \frac { 4 } { 21 } \div ( - 1 \frac { 1 } { 14 } ) \times \frac { 1 } { 2 } + ( - \frac { 1 } { 3 } )$$

Aromātai

$$\frac{65}{9}\approx 7.222222222$$

Ngā Upane Otinga

Whakareatia te 1 ki te 21, ka 21.

$$7-\frac{\frac{21+4}{21}}{-\frac{1\times 14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Tāpirihia te 21 ki te 4, ka 25.

$$7-\frac{\frac{25}{21}}{-\frac{1\times 14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Whakareatia te 1 ki te 14, ka 14.

$$7-\frac{\frac{25}{21}}{-\frac{14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Tāpirihia te 14 ki te 1, ka 15.

$$7-\frac{\frac{25}{21}}{-\frac{15}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Whakawehe \frac{25}{21} ki te -\frac{15}{14} mā te whakarea \frac{25}{21} ki te tau huripoki o -\frac{15}{14}.

$$7-\frac{25}{21}\left(-\frac{14}{15}\right)\times \frac{1}{2}-\frac{1}{3}$$

Me whakarea te \frac{25}{21} ki te -\frac{14}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$7-\frac{25\left(-14\right)}{21\times 15}\times \frac{1}{2}-\frac{1}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{25\left(-14\right)}{21\times 15}.

$$7-\frac{-350}{315}\times \frac{1}{2}-\frac{1}{3}$$

Whakahekea te hautanga \frac{-350}{315} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 35.

$$7-\left(-\frac{10}{9}\times \frac{1}{2}\right)-\frac{1}{3}$$

Me whakarea te -\frac{10}{9} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$7-\frac{-10}{9\times 2}-\frac{1}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{-10}{9\times 2}.

$$7-\frac{-10}{18}-\frac{1}{3}$$

Whakahekea te hautanga \frac{-10}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$7-\left(-\frac{5}{9}\right)-\frac{1}{3}$$

Ko te tauaro o -\frac{5}{9} ko \frac{5}{9}.

$$7+\frac{5}{9}-\frac{1}{3}$$

Me tahuri te 7 ki te hautau \frac{63}{9}.

$$\frac{63}{9}+\frac{5}{9}-\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{63}{9} me \frac{5}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{63+5}{9}-\frac{1}{3}$$

Tāpirihia te 63 ki te 5, ka 68.

$$\frac{68}{9}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{68}{9} me \frac{1}{3} ki te hautau me te tautūnga 9.

$$\frac{68}{9}-\frac{3}{9}$$

Tā te mea he rite te tauraro o \frac{68}{9} me \frac{3}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{68-3}{9}$$

Tangohia te 3 i te 68, ka 65.

$$\frac{65}{9}$$

Tauwehe

$$\frac{5 \cdot 13}{3 ^ {2}} = 7\frac{2}{9} = 7.222222222222222$$