Whakaoti i te (11/4*1/5+25/6*1/5)divfrac{7}{10}

$$( 1 \frac { 1 } { 4 } \times \frac { 1 } { 5 } + 2 \frac { 5 } { 6 } \times \frac { 1 } { 5 } ) \div \frac { 7 } { 10 }$$

Aromātai

$$\frac{7}{6}\approx 1.166666667$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

$$\frac{\frac{4+1}{4}\times \frac{1}{5}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{\frac{5}{4}\times \frac{1}{5}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Me whakarea te \frac{5}{4} ki te \frac{1}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{5\times 1}{4\times 5}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{\frac{1}{4}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Whakareatia te 2 ki te 6, ka 12.

$$\frac{\frac{1}{4}+\frac{12+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Tāpirihia te 12 ki te 5, ka 17.

$$\frac{\frac{1}{4}+\frac{17}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Me whakarea te \frac{17}{6} ki te \frac{1}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{1}{4}+\frac{17\times 1}{6\times 5}}{\frac{7}{10}}$$

Mahia ngā whakarea i roto i te hautanga \frac{17\times 1}{6\times 5}.

$$\frac{\frac{1}{4}+\frac{17}{30}}{\frac{7}{10}}$$

Ko te maha noa iti rawa atu o 4 me 30 ko 60. Me tahuri \frac{1}{4} me \frac{17}{30} ki te hautau me te tautūnga 60.

$$\frac{\frac{15}{60}+\frac{34}{60}}{\frac{7}{10}}$$

Tā te mea he rite te tauraro o \frac{15}{60} me \frac{34}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{15+34}{60}}{\frac{7}{10}}$$

Tāpirihia te 15 ki te 34, ka 49.

$$\frac{\frac{49}{60}}{\frac{7}{10}}$$

Whakawehe \frac{49}{60} ki te \frac{7}{10} mā te whakarea \frac{49}{60} ki te tau huripoki o \frac{7}{10}.

$$\frac{49}{60}\times \frac{10}{7}$$

Me whakarea te \frac{49}{60} ki te \frac{10}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{49\times 10}{60\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{49\times 10}{60\times 7}.

$$\frac{490}{420}$$

Whakahekea te hautanga \frac{490}{420} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 70.

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

Tauwehe

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$