Whakaoti i te 1/2:(1/4+1/3)=

$$\frac { 1 } { 2 } : ( \frac { 1 } { 4 } + \frac { 1 } { 3 } ) =$$

Aromātai

$$\frac{6}{7}\approx 0.857142857$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 3 ko 12. Me tahuri \frac{1}{4} me \frac{1}{3} ki te hautau me te tautūnga 12.

$$\frac{\frac{1}{2}}{\frac{3}{12}+\frac{4}{12}}$$

Tā te mea he rite te tauraro o \frac{3}{12} me \frac{4}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{1}{2}}{\frac{3+4}{12}}$$

Tāpirihia te 3 ki te 4, ka 7.

$$\frac{\frac{1}{2}}{\frac{7}{12}}$$

Whakawehe \frac{1}{2} ki te \frac{7}{12} mā te whakarea \frac{1}{2} ki te tau huripoki o \frac{7}{12}.

$$\frac{1}{2}\times \frac{12}{7}$$

Me whakarea te \frac{1}{2} ki te \frac{12}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 12}{2\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 12}{2\times 7}.

$$\frac{12}{14}$$

Whakahekea te hautanga \frac{12}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{6}{7}$$

Tauwehe

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$