Whakaoti i te 44/5div3/5text{of}5+4/5*3/10-frac{1}{5}

$$4 \frac { 4 } { 5 } \div \frac { 3 } { 5 } \text { of } 5 + \frac { 4 } { 5 } \times \frac { 3 } { 10 } - \frac { 1 } { 5 }$$

Aromātai

$$\frac{1001}{25}=40.04$$

Ngā Upane Otinga

Whakawehe \frac{4\times 5+4}{5} ki te \frac{3}{5} mā te whakarea \frac{4\times 5+4}{5} ki te tau huripoki o \frac{3}{5}.

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

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

$$\frac{4+4\times 5}{3}\times 5+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}$$

Whakareatia te 4 ki te 5, ka 20.

$$\frac{4+20}{3}\times 5+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}$$

Tāpirihia te 4 ki te 20, ka 24.

$$\frac{24}{3}\times 5+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}$$

Whakawehea te 24 ki te 3, kia riro ko 8.

$$8\times 5+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}$$

Whakareatia te 8 ki te 5, ka 40.

$$40+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}$$

Me whakarea te \frac{4}{5} ki te \frac{3}{10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$40+\frac{4\times 3}{5\times 10}-\frac{1}{5}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 3}{5\times 10}.

$$40+\frac{12}{50}-\frac{1}{5}$$

Whakahekea te hautanga \frac{12}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$40+\frac{6}{25}-\frac{1}{5}$$

Me tahuri te 40 ki te hautau \frac{1000}{25}.

$$\frac{1000}{25}+\frac{6}{25}-\frac{1}{5}$$

Tā te mea he rite te tauraro o \frac{1000}{25} me \frac{6}{25}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1000+6}{25}-\frac{1}{5}$$

Tāpirihia te 1000 ki te 6, ka 1006.

$$\frac{1006}{25}-\frac{1}{5}$$

Ko te maha noa iti rawa atu o 25 me 5 ko 25. Me tahuri \frac{1006}{25} me \frac{1}{5} ki te hautau me te tautūnga 25.

$$\frac{1006}{25}-\frac{5}{25}$$

Tā te mea he rite te tauraro o \frac{1006}{25} me \frac{5}{25}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1006-5}{25}$$

Tangohia te 5 i te 1006, ka 1001.

$$\frac{1001}{25}$$

Tauwehe

$$\frac{7 \cdot 11 \cdot 13}{5 ^ {2}} = 40\frac{1}{25} = 40.04$$