Whakaoti i te (6/5-1+12/5)(1/5-1/4+frac{7}{2}-frac{8}{3})

$$( \frac { 6 } { 5 } - 1 + \frac { 12 } { 5 } ) ( \frac { 1 } { 5 } - \frac { 1 } { 4 } + \frac { 7 } { 2 } - \frac { 8 } { 3 } )$$

Aromātai

$$\frac{611}{300}\approx 2.036666667$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$\left(\frac{6}{5}-\frac{5}{5}+\frac{12}{5}\right)\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

Tā te mea he rite te tauraro o \frac{6}{5} me \frac{5}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{6-5}{5}+\frac{12}{5}\right)\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

Tangohia te 5 i te 6, ka 1.

$$\left(\frac{1}{5}+\frac{12}{5}\right)\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

Tā te mea he rite te tauraro o \frac{1}{5} me \frac{12}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+12}{5}\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

Tāpirihia te 1 ki te 12, ka 13.

$$\frac{13}{5}\left(\frac{1}{5}-\frac{1}{4}+\frac{7}{2}-\frac{8}{3}\right)$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{1}{5} me \frac{1}{4} ki te hautau me te tautūnga 20.

$$\frac{13}{5}\left(\frac{4}{20}-\frac{5}{20}+\frac{7}{2}-\frac{8}{3}\right)$$

Tā te mea he rite te tauraro o \frac{4}{20} me \frac{5}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{13}{5}\left(\frac{4-5}{20}+\frac{7}{2}-\frac{8}{3}\right)$$

Tangohia te 5 i te 4, ka -1.

$$\frac{13}{5}\left(-\frac{1}{20}+\frac{7}{2}-\frac{8}{3}\right)$$

Ko te maha noa iti rawa atu o 20 me 2 ko 20. Me tahuri -\frac{1}{20} me \frac{7}{2} ki te hautau me te tautūnga 20.

$$\frac{13}{5}\left(-\frac{1}{20}+\frac{70}{20}-\frac{8}{3}\right)$$

Tā te mea he rite te tauraro o -\frac{1}{20} me \frac{70}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13}{5}\left(\frac{-1+70}{20}-\frac{8}{3}\right)$$

Tāpirihia te -1 ki te 70, ka 69.

$$\frac{13}{5}\left(\frac{69}{20}-\frac{8}{3}\right)$$

Ko te maha noa iti rawa atu o 20 me 3 ko 60. Me tahuri \frac{69}{20} me \frac{8}{3} ki te hautau me te tautūnga 60.

$$\frac{13}{5}\left(\frac{207}{60}-\frac{160}{60}\right)$$

Tā te mea he rite te tauraro o \frac{207}{60} me \frac{160}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{13}{5}\times \frac{207-160}{60}$$

Tangohia te 160 i te 207, ka 47.

$$\frac{13}{5}\times \frac{47}{60}$$

Me whakarea te \frac{13}{5} ki te \frac{47}{60} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 47}{5\times 60}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 47}{5\times 60}.

$$\frac{611}{300}$$

Tauwehe

$$\frac{13 \cdot 47}{2 ^ {2} \cdot 3 \cdot 5 ^ {2}} = 2\frac{11}{300} = 2.0366666666666666$$