Whakaoti i te 2+1/3/7+1-frac{1/4/3}{frac{frac{1}{2}}{frac{1}{4}}-frac{1}{frac{4}{3}}}*(frac{2}{7}+frac{4}{19})

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

Aromātai

$$\frac{22}{95}\approx 0.231578947$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{6}{3}.

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

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

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

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{\frac{\frac{7}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tuhia te \frac{\frac{7}{3}}{7} hei hautanga kotahi.

$$\frac{\frac{7}{3\times 7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$\frac{\frac{1}{3}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$\frac{\frac{1}{3}+\frac{\frac{4}{4}-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tā te mea he rite te tauraro o \frac{4}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{1}{3}+\frac{\frac{4-1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tangohia te 1 i te 4, ka 3.

$$\frac{\frac{1}{3}+\frac{\frac{3}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tuhia te \frac{\frac{3}{4}}{3} hei hautanga kotahi.

$$\frac{\frac{1}{3}+\frac{3}{4\times 3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{\frac{1}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

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

$$\frac{\frac{4}{12}+\frac{3}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

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

$$\frac{\frac{4+3}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{\frac{7}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakawehe \frac{1}{2} ki te \frac{1}{4} mā te whakarea \frac{1}{2} ki te tau huripoki o \frac{1}{4}.

$$\frac{\frac{7}{12}}{\frac{1}{2}\times 4-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakareatia te \frac{1}{2} ki te 4, ka \frac{4}{2}.

$$\frac{\frac{7}{12}}{\frac{4}{2}-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$\frac{\frac{7}{12}}{2-\frac{1}{\frac{4}{3}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakawehe 1 ki te \frac{4}{3} mā te whakarea 1 ki te tau huripoki o \frac{4}{3}.

$$\frac{\frac{7}{12}}{2-1\times \frac{3}{4}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakareatia te 1 ki te \frac{3}{4}, ka \frac{3}{4}.

$$\frac{\frac{7}{12}}{2-\frac{3}{4}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{\frac{7}{12}}{\frac{8}{4}-\frac{3}{4}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{7}{12}}{\frac{8-3}{4}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Tangohia te 3 i te 8, ka 5.

$$\frac{\frac{7}{12}}{\frac{5}{4}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakawehe \frac{7}{12} ki te \frac{5}{4} mā te whakarea \frac{7}{12} ki te tau huripoki o \frac{5}{4}.

$$\frac{7}{12}\times \frac{4}{5}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Me whakarea te \frac{7}{12} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 4}{12\times 5}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 4}{12\times 5}.

$$\frac{28}{60}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Whakahekea te hautanga \frac{28}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{7}{15}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Ko te maha noa iti rawa atu o 7 me 19 ko 133. Me tahuri \frac{2}{7} me \frac{4}{19} ki te hautau me te tautūnga 133.

$$\frac{7}{15}\left(\frac{38}{133}+\frac{28}{133}\right)$$

Tā te mea he rite te tauraro o \frac{38}{133} me \frac{28}{133}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7}{15}\times \frac{38+28}{133}$$

Tāpirihia te 38 ki te 28, ka 66.

$$\frac{7}{15}\times \frac{66}{133}$$

Me whakarea te \frac{7}{15} ki te \frac{66}{133} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 66}{15\times 133}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 66}{15\times 133}.

$$\frac{462}{1995}$$

Whakahekea te hautanga \frac{462}{1995} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 21.

$$\frac{22}{95}$$

Tauwehe

$$\frac{2 \cdot 11}{5 \cdot 19} = 0.23157894736842105$$