Whakaoti i te (42/5-17/8)div3/10*1/2

$$( 4 \frac { 2 } { 5 } - 1 \frac { 7 } { 8 } ) \div \frac { 3 } { 10 } \times \frac { 1 } { 2 }$$

Aromātai

$$\frac{101}{24}\approx 4.208333333$$

Ngā Upane Otinga

Whakareatia te 4 ki te 5, ka 20.

$$\frac{\frac{20+2}{5}-\frac{1\times 8+7}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

Tāpirihia te 20 ki te 2, ka 22.

$$\frac{\frac{22}{5}-\frac{1\times 8+7}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

Whakareatia te 1 ki te 8, ka 8.

$$\frac{\frac{22}{5}-\frac{8+7}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

Tāpirihia te 8 ki te 7, ka 15.

$$\frac{\frac{22}{5}-\frac{15}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

Ko te maha noa iti rawa atu o 5 me 8 ko 40. Me tahuri \frac{22}{5} me \frac{15}{8} ki te hautau me te tautūnga 40.

$$\frac{\frac{176}{40}-\frac{75}{40}}{\frac{3}{10}}\times \frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{176}{40} me \frac{75}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{176-75}{40}}{\frac{3}{10}}\times \frac{1}{2}$$

Tangohia te 75 i te 176, ka 101.

$$\frac{\frac{101}{40}}{\frac{3}{10}}\times \frac{1}{2}$$

Whakawehe \frac{101}{40} ki te \frac{3}{10} mā te whakarea \frac{101}{40} ki te tau huripoki o \frac{3}{10}.

$$\frac{101}{40}\times \frac{10}{3}\times \frac{1}{2}$$

Me whakarea te \frac{101}{40} ki te \frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{101\times 10}{40\times 3}\times \frac{1}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{101\times 10}{40\times 3}.

$$\frac{1010}{120}\times \frac{1}{2}$$

Whakahekea te hautanga \frac{1010}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{101}{12}\times \frac{1}{2}$$

Me whakarea te \frac{101}{12} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{101\times 1}{12\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{101\times 1}{12\times 2}.

$$\frac{101}{24}$$

Tauwehe

$$\frac{101}{2 ^ {3} \cdot 3} = 4\frac{5}{24} = 4.208333333333333$$