Whakaoti i te 125/100-(075-6/10*25/90)div42/90

$$\frac{ 125 }{ 100 } -(075- \frac{ 6 }{ 10 } \times \frac{ 25 }{ 90 } ) \div \frac{ 42 }{ 90 }$$

Aromātai

$$\frac{45}{28}\approx 1.607142857$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{125}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{5}{4}-\frac{0\times 75-\frac{6}{10}\times \frac{25}{90}}{\frac{42}{90}}$$

Whakareatia te 0 ki te 75, ka 0.

$$\frac{5}{4}-\frac{0-\frac{6}{10}\times \frac{25}{90}}{\frac{42}{90}}$$

Whakahekea te hautanga \frac{6}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{4}-\frac{0-\frac{3}{5}\times \frac{25}{90}}{\frac{42}{90}}$$

Whakahekea te hautanga \frac{25}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{5}{4}-\frac{0-\frac{3}{5}\times \frac{5}{18}}{\frac{42}{90}}$$

Me whakarea te \frac{3}{5} ki te \frac{5}{18} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{4}-\frac{0-\frac{3\times 5}{5\times 18}}{\frac{42}{90}}$$

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

$$\frac{5}{4}-\frac{0-\frac{3}{18}}{\frac{42}{90}}$$

Whakahekea te hautanga \frac{3}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{4}-\frac{0-\frac{1}{6}}{\frac{42}{90}}$$

Tangohia te \frac{1}{6} i te 0, ka -\frac{1}{6}.

$$\frac{5}{4}-\frac{-\frac{1}{6}}{\frac{42}{90}}$$

Whakahekea te hautanga \frac{42}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{5}{4}-\frac{-\frac{1}{6}}{\frac{7}{15}}$$

Whakawehe -\frac{1}{6} ki te \frac{7}{15} mā te whakarea -\frac{1}{6} ki te tau huripoki o \frac{7}{15}.

$$\frac{5}{4}-\left(-\frac{1}{6}\times \frac{15}{7}\right)$$

Me whakarea te -\frac{1}{6} ki te \frac{15}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{4}-\frac{-15}{6\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{-15}{6\times 7}.

$$\frac{5}{4}-\frac{-15}{42}$$

Whakahekea te hautanga \frac{-15}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{4}-\left(-\frac{5}{14}\right)$$

Ko te tauaro o -\frac{5}{14} ko \frac{5}{14}.

$$\frac{5}{4}+\frac{5}{14}$$

Ko te maha noa iti rawa atu o 4 me 14 ko 28. Me tahuri \frac{5}{4} me \frac{5}{14} ki te hautau me te tautūnga 28.

$$\frac{35}{28}+\frac{10}{28}$$

Tā te mea he rite te tauraro o \frac{35}{28} me \frac{10}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{35+10}{28}$$

Tāpirihia te 35 ki te 10, ka 45.

$$\frac{45}{28}$$

Tauwehe

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 7} = 1\frac{17}{28} = 1.6071428571428572$$