Whakaoti i te 3-frac{1/4/frac{1{2}}-2-1/5/frac{1{3}}}{3-frac{1}{2}}*(frac{3}{4}+frac{1}{25})

$$\frac { \frac { 3 - \frac { 1 } { 4 } } { \frac { 1 } { 2 } } - \frac { 2 - \frac { 1 } { 5 } } { \frac { 1 } { 3 } } } { 3 - \frac { 1 } { 2 } } \times ( \frac { 3 } { 4 } + \frac { 1 } { 25 } )$$

Aromātai

$$\frac{79}{2500}=0.0316$$

Ngā Upane Otinga

Me tahuri te 3 ki te hautau \frac{12}{4}.

$$\frac{\frac{\frac{12}{4}-\frac{1}{4}}{\frac{1}{2}}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tā te mea he rite te tauraro o \frac{12}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{\frac{12-1}{4}}{\frac{1}{2}}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tangohia te 1 i te 12, ka 11.

$$\frac{\frac{\frac{11}{4}}{\frac{1}{2}}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakawehe \frac{11}{4} ki te \frac{1}{2} mā te whakarea \frac{11}{4} ki te tau huripoki o \frac{1}{2}.

$$\frac{\frac{11}{4}\times 2-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tuhia te \frac{11}{4}\times 2 hei hautanga kotahi.

$$\frac{\frac{11\times 2}{4}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakareatia te 11 ki te 2, ka 22.

$$\frac{\frac{22}{4}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakahekea te hautanga \frac{22}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{11}{2}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Me tahuri te 2 ki te hautau \frac{10}{5}.

$$\frac{\frac{11}{2}-\frac{\frac{10}{5}-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{11}{2}-\frac{\frac{10-1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tangohia te 1 i te 10, ka 9.

$$\frac{\frac{11}{2}-\frac{\frac{9}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakawehe \frac{9}{5} ki te \frac{1}{3} mā te whakarea \frac{9}{5} ki te tau huripoki o \frac{1}{3}.

$$\frac{\frac{11}{2}-\frac{9}{5}\times 3}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tuhia te \frac{9}{5}\times 3 hei hautanga kotahi.

$$\frac{\frac{11}{2}-\frac{9\times 3}{5}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakareatia te 9 ki te 3, ka 27.

$$\frac{\frac{11}{2}-\frac{27}{5}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Ko te maha noa iti rawa atu o 2 me 5 ko 10. Me tahuri \frac{11}{2} me \frac{27}{5} ki te hautau me te tautūnga 10.

$$\frac{\frac{55}{10}-\frac{54}{10}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tā te mea he rite te tauraro o \frac{55}{10} me \frac{54}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{55-54}{10}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tangohia te 54 i te 55, ka 1.

$$\frac{\frac{1}{10}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

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

$$\frac{\frac{1}{10}}{\frac{6}{2}-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tā te mea he rite te tauraro o \frac{6}{2} me \frac{1}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{1}{10}}{\frac{6-1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Tangohia te 1 i te 6, ka 5.

$$\frac{\frac{1}{10}}{\frac{5}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakawehe \frac{1}{10} ki te \frac{5}{2} mā te whakarea \frac{1}{10} ki te tau huripoki o \frac{5}{2}.

$$\frac{1}{10}\times \frac{2}{5}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Me whakarea te \frac{1}{10} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 2}{10\times 5}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{10\times 5}.

$$\frac{2}{50}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Whakahekea te hautanga \frac{2}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{25}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Ko te maha noa iti rawa atu o 4 me 25 ko 100. Me tahuri \frac{3}{4} me \frac{1}{25} ki te hautau me te tautūnga 100.

$$\frac{1}{25}\left(\frac{75}{100}+\frac{4}{100}\right)$$

Tā te mea he rite te tauraro o \frac{75}{100} me \frac{4}{100}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{25}\times \frac{75+4}{100}$$

Tāpirihia te 75 ki te 4, ka 79.

$$\frac{1}{25}\times \frac{79}{100}$$

Me whakarea te \frac{1}{25} ki te \frac{79}{100} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 79}{25\times 100}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 79}{25\times 100}.

$$\frac{79}{2500}$$

Tauwehe

$$\frac{79}{2 ^ {2} \cdot 5 ^ {4}} = 0.0316$$