Whakaoti i te 1/2-(1/4div4/7)+3/5

$$\frac { 1 } { 2 } - ( \frac { 1 } { 4 } \div \frac { 4 } { 7 } ) + \frac { 3 } { 5 }$$

Aromātai

$$\frac{53}{80}=0.6625$$

Ngā Upane Otinga

Whakawehe \frac{1}{4} ki te \frac{4}{7} mā te whakarea \frac{1}{4} ki te tau huripoki o \frac{4}{7}.

$$\frac{1}{2}-\frac{1}{4}\times \frac{7}{4}+\frac{3}{5}$$

Me whakarea te \frac{1}{4} ki te \frac{7}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}-\frac{1\times 7}{4\times 4}+\frac{3}{5}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 7}{4\times 4}.

$$\frac{1}{2}-\frac{7}{16}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 2 me 16 ko 16. Me tahuri \frac{1}{2} me \frac{7}{16} ki te hautau me te tautūnga 16.

$$\frac{8}{16}-\frac{7}{16}+\frac{3}{5}$$

Tā te mea he rite te tauraro o \frac{8}{16} me \frac{7}{16}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-7}{16}+\frac{3}{5}$$

Tangohia te 7 i te 8, ka 1.

$$\frac{1}{16}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 16 me 5 ko 80. Me tahuri \frac{1}{16} me \frac{3}{5} ki te hautau me te tautūnga 80.

$$\frac{5}{80}+\frac{48}{80}$$

Tā te mea he rite te tauraro o \frac{5}{80} me \frac{48}{80}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+48}{80}$$

Tāpirihia te 5 ki te 48, ka 53.

$$\frac{53}{80}$$

Tauwehe

$$\frac{53}{2 ^ {4} \cdot 5} = 0.6625$$