Whakaoti i te (1/2+1/3+1/5)*10/frac{3{7}}

$$\frac { ( \frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 } ) \cdot 10 } { \frac { 3 } { 7 } }$$

Aromātai

$$\frac{217}{9}\approx 24.111111111$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\frac{\left(\frac{3}{6}+\frac{2}{6}+\frac{1}{5}\right)\times 10}{\frac{3}{7}}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{2}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\left(\frac{3+2}{6}+\frac{1}{5}\right)\times 10}{\frac{3}{7}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\left(\frac{5}{6}+\frac{1}{5}\right)\times 10}{\frac{3}{7}}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{5}{6} me \frac{1}{5} ki te hautau me te tautūnga 30.

$$\frac{\left(\frac{25}{30}+\frac{6}{30}\right)\times 10}{\frac{3}{7}}$$

Tā te mea he rite te tauraro o \frac{25}{30} me \frac{6}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{25+6}{30}\times 10}{\frac{3}{7}}$$

Tāpirihia te 25 ki te 6, ka 31.

$$\frac{\frac{31}{30}\times 10}{\frac{3}{7}}$$

Tuhia te \frac{31}{30}\times 10 hei hautanga kotahi.

$$\frac{\frac{31\times 10}{30}}{\frac{3}{7}}$$

Whakareatia te 31 ki te 10, ka 310.

$$\frac{\frac{310}{30}}{\frac{3}{7}}$$

Whakahekea te hautanga \frac{310}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{\frac{31}{3}}{\frac{3}{7}}$$

Whakawehe \frac{31}{3} ki te \frac{3}{7} mā te whakarea \frac{31}{3} ki te tau huripoki o \frac{3}{7}.

$$\frac{31}{3}\times \frac{7}{3}$$

Me whakarea te \frac{31}{3} ki te \frac{7}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{31\times 7}{3\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{31\times 7}{3\times 3}.

$$\frac{217}{9}$$

Tauwehe

$$\frac{7 \cdot 31}{3 ^ {2}} = 24\frac{1}{9} = 24.11111111111111$$