Whakaoti i te 2/5-11/4+45+25%

$$\frac { 2 } { 5 } - 1 \frac { 1 } { 4 } + 45 + 25 \%$$

Aromātai

$$\frac{222}{5}=44.4$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

$$\frac{2}{5}-\frac{4+1}{4}+45+\frac{25}{100}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{2}{5}-\frac{5}{4}+45+\frac{25}{100}$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{2}{5} me \frac{5}{4} ki te hautau me te tautūnga 20.

$$\frac{8}{20}-\frac{25}{20}+45+\frac{25}{100}$$

Tā te mea he rite te tauraro o \frac{8}{20} me \frac{25}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-25}{20}+45+\frac{25}{100}$$

Tangohia te 25 i te 8, ka -17.

$$-\frac{17}{20}+45+\frac{25}{100}$$

Me tahuri te 45 ki te hautau \frac{900}{20}.

$$-\frac{17}{20}+\frac{900}{20}+\frac{25}{100}$$

Tā te mea he rite te tauraro o -\frac{17}{20} me \frac{900}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-17+900}{20}+\frac{25}{100}$$

Tāpirihia te -17 ki te 900, ka 883.

$$\frac{883}{20}+\frac{25}{100}$$

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

$$\frac{883}{20}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 20 me 4 ko 20. Me tahuri \frac{883}{20} me \frac{1}{4} ki te hautau me te tautūnga 20.

$$\frac{883}{20}+\frac{5}{20}$$

Tā te mea he rite te tauraro o \frac{883}{20} me \frac{5}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{883+5}{20}$$

Tāpirihia te 883 ki te 5, ka 888.

$$\frac{888}{20}$$

Whakahekea te hautanga \frac{888}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{222}{5}$$

Tauwehe

$$\frac{2 \cdot 3 \cdot 37}{5} = 44\frac{2}{5} = 44.4$$