Whakaoti i te (1/2*19/7)div(2/4-1/6)+3

$$( \frac { 1 } { 2 } \cdot \frac { 19 } { 7 } ) \div ( \frac { 2 } { 4 } - \frac { 1 } { 6 } ) + 3$$

Aromātai

$$\frac{99}{14}\approx 7.071428571$$

Ngā Upane Otinga

Me whakarea te \frac{1}{2} ki te \frac{19}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{1\times 19}{2\times 7}}{\frac{2}{4}-\frac{1}{6}}+3$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 19}{2\times 7}.

$$\frac{\frac{19}{14}}{\frac{2}{4}-\frac{1}{6}}+3$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{19}{14}}{\frac{1}{2}-\frac{1}{6}}+3$$

Ko te maha noa iti rawa atu o 2 me 6 ko 6. Me tahuri \frac{1}{2} me \frac{1}{6} ki te hautau me te tautūnga 6.

$$\frac{\frac{19}{14}}{\frac{3}{6}-\frac{1}{6}}+3$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{1}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{19}{14}}{\frac{3-1}{6}}+3$$

Tangohia te 1 i te 3, ka 2.

$$\frac{\frac{19}{14}}{\frac{2}{6}}+3$$

Whakahekea te hautanga \frac{2}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{19}{14}}{\frac{1}{3}}+3$$

Whakawehe \frac{19}{14} ki te \frac{1}{3} mā te whakarea \frac{19}{14} ki te tau huripoki o \frac{1}{3}.

$$\frac{19}{14}\times 3+3$$

Tuhia te \frac{19}{14}\times 3 hei hautanga kotahi.

$$\frac{19\times 3}{14}+3$$

Whakareatia te 19 ki te 3, ka 57.

$$\frac{57}{14}+3$$

Me tahuri te 3 ki te hautau \frac{42}{14}.

$$\frac{57}{14}+\frac{42}{14}$$

Tā te mea he rite te tauraro o \frac{57}{14} me \frac{42}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{57+42}{14}$$

Tāpirihia te 57 ki te 42, ka 99.

$$\frac{99}{14}$$

Tauwehe

$$\frac{3 ^ {2} \cdot 11}{2 \cdot 7} = 7\frac{1}{14} = 7.071428571428571$$