Whakaoti i te 1+1/5(-1/5+1/3)+[1/10+(-frac{1}{5})]+(-frac{1}{25})

$$1 + \frac { 1 } { 5 } ( - \frac { 1 } { 5 } + \frac { 1 } { 3 } ) + [ \frac { 1 } { 10 } + ( - \frac { 1 } { 5 } ) ] + ( - \frac { 1 } { 25 } )$$

Aromātai

$$\frac{133}{150}\approx 0.886666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri -\frac{1}{5} me \frac{1}{3} ki te hautau me te tautūnga 15.

$$1+\frac{1}{5}\left(-\frac{3}{15}+\frac{5}{15}\right)+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Tā te mea he rite te tauraro o -\frac{3}{15} me \frac{5}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1+\frac{1}{5}\times \frac{-3+5}{15}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Tāpirihia te -3 ki te 5, ka 2.

$$1+\frac{1}{5}\times \frac{2}{15}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Me whakarea te \frac{1}{5} ki te \frac{2}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$1+\frac{1\times 2}{5\times 15}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{5\times 15}.

$$1+\frac{2}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Me tahuri te 1 ki te hautau \frac{75}{75}.

$$\frac{75}{75}+\frac{2}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Tā te mea he rite te tauraro o \frac{75}{75} me \frac{2}{75}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{75+2}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Tāpirihia te 75 ki te 2, ka 77.

$$\frac{77}{75}+\frac{1}{10}-\frac{1}{5}-\frac{1}{25}$$

Ko te maha noa iti rawa atu o 75 me 10 ko 150. Me tahuri \frac{77}{75} me \frac{1}{10} ki te hautau me te tautūnga 150.

$$\frac{154}{150}+\frac{15}{150}-\frac{1}{5}-\frac{1}{25}$$

Tā te mea he rite te tauraro o \frac{154}{150} me \frac{15}{150}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{154+15}{150}-\frac{1}{5}-\frac{1}{25}$$

Tāpirihia te 154 ki te 15, ka 169.

$$\frac{169}{150}-\frac{1}{5}-\frac{1}{25}$$

Ko te maha noa iti rawa atu o 150 me 5 ko 150. Me tahuri \frac{169}{150} me \frac{1}{5} ki te hautau me te tautūnga 150.

$$\frac{169}{150}-\frac{30}{150}-\frac{1}{25}$$

Tā te mea he rite te tauraro o \frac{169}{150} me \frac{30}{150}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{169-30}{150}-\frac{1}{25}$$

Tangohia te 30 i te 169, ka 139.

$$\frac{139}{150}-\frac{1}{25}$$

Ko te maha noa iti rawa atu o 150 me 25 ko 150. Me tahuri \frac{139}{150} me \frac{1}{25} ki te hautau me te tautūnga 150.

$$\frac{139}{150}-\frac{6}{150}$$

Tā te mea he rite te tauraro o \frac{139}{150} me \frac{6}{150}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{139-6}{150}$$

Tangohia te 6 i te 139, ka 133.

$$\frac{133}{150}$$

Tauwehe

$$\frac{7 \cdot 19}{2 \cdot 3 \cdot 5 ^ {2}} = 0.8866666666666667$$