Whakaoti i te 4/5+7/8-(1/2-1/4+frac{1}{5}-frac{1}{10})

$$\frac { 4 } { 5 } + \frac { 7 } { 8 } - ( \frac { 1 } { 2 } - \frac { 1 } { 4 } + \frac { 1 } { 5 } - \frac { 1 } { 10 } )$$

Aromātai

$$\frac{53}{40}=1.325$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 8 ko 40. Me tahuri \frac{4}{5} me \frac{7}{8} ki te hautau me te tautūnga 40.

$$\frac{32}{40}+\frac{35}{40}-\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

Tā te mea he rite te tauraro o \frac{32}{40} me \frac{35}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{32+35}{40}-\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

Tāpirihia te 32 ki te 35, ka 67.

$$\frac{67}{40}-\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{1}{2} me \frac{1}{4} ki te hautau me te tautūnga 4.

$$\frac{67}{40}-\left(\frac{2}{4}-\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

Tā te mea he rite te tauraro o \frac{2}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{67}{40}-\left(\frac{2-1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

Tangohia te 1 i te 2, ka 1.

$$\frac{67}{40}-\left(\frac{1}{4}+\frac{1}{5}-\frac{1}{10}\right)$$

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

$$\frac{67}{40}-\left(\frac{5}{20}+\frac{4}{20}-\frac{1}{10}\right)$$

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

$$\frac{67}{40}-\left(\frac{5+4}{20}-\frac{1}{10}\right)$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{67}{40}-\left(\frac{9}{20}-\frac{1}{10}\right)$$

Ko te maha noa iti rawa atu o 20 me 10 ko 20. Me tahuri \frac{9}{20} me \frac{1}{10} ki te hautau me te tautūnga 20.

$$\frac{67}{40}-\left(\frac{9}{20}-\frac{2}{20}\right)$$

Tā te mea he rite te tauraro o \frac{9}{20} me \frac{2}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{67}{40}-\frac{9-2}{20}$$

Tangohia te 2 i te 9, ka 7.

$$\frac{67}{40}-\frac{7}{20}$$

Ko te maha noa iti rawa atu o 40 me 20 ko 40. Me tahuri \frac{67}{40} me \frac{7}{20} ki te hautau me te tautūnga 40.

$$\frac{67}{40}-\frac{14}{40}$$

Tā te mea he rite te tauraro o \frac{67}{40} me \frac{14}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{67-14}{40}$$

Tangohia te 14 i te 67, ka 53.

$$\frac{53}{40}$$

Tauwehe

$$\frac{53}{2 ^ {3} \cdot 5} = 1\frac{13}{40} = 1.325$$