Whakaoti i te 13/40+1/16/frac{13{5}-8/15}

$$\frac { \frac { 13 } { 40 } + \frac { 1 } { 16 } } { \frac { 13 } { 5 } - \frac { 8 } { 15 } }$$

Aromātai

$$\frac{3}{16}=0.1875$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 40 me 16 ko 80. Me tahuri \frac{13}{40} me \frac{1}{16} ki te hautau me te tautūnga 80.

$$\frac{\frac{26}{80}+\frac{5}{80}}{\frac{13}{5}-\frac{8}{15}}$$

Tā te mea he rite te tauraro o \frac{26}{80} me \frac{5}{80}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{26+5}{80}}{\frac{13}{5}-\frac{8}{15}}$$

Tāpirihia te 26 ki te 5, ka 31.

$$\frac{\frac{31}{80}}{\frac{13}{5}-\frac{8}{15}}$$

Ko te maha noa iti rawa atu o 5 me 15 ko 15. Me tahuri \frac{13}{5} me \frac{8}{15} ki te hautau me te tautūnga 15.

$$\frac{\frac{31}{80}}{\frac{39}{15}-\frac{8}{15}}$$

Tā te mea he rite te tauraro o \frac{39}{15} me \frac{8}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{31}{80}}{\frac{39-8}{15}}$$

Tangohia te 8 i te 39, ka 31.

$$\frac{\frac{31}{80}}{\frac{31}{15}}$$

Whakawehe \frac{31}{80} ki te \frac{31}{15} mā te whakarea \frac{31}{80} ki te tau huripoki o \frac{31}{15}.

$$\frac{31}{80}\times \frac{15}{31}$$

Me whakarea te \frac{31}{80} ki te \frac{15}{31} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{31\times 15}{80\times 31}$$

Me whakakore tahi te 31 i te taurunga me te tauraro.

$$\frac{15}{80}$$

Whakahekea te hautanga \frac{15}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{3}{16}$$

Tauwehe

$$\frac{3}{2 ^ {4}} = 0.1875$$