Whakaoti i te 25/6div20/3+(3/2)^2*1/30

$$\frac { 25 } { 6 } \div \frac { 20 } { 3 } + ( \frac { 3 } { 2 } ) ^ { 2 } \cdot \frac { 1 } { 30 }$$

Aromātai

$$\frac{7}{10}=0.7$$

Ngā Upane Otinga

Whakawehe \frac{25}{6} ki te \frac{20}{3} mā te whakarea \frac{25}{6} ki te tau huripoki o \frac{20}{3}.

$$\frac{25}{6}\times \frac{3}{20}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

Me whakarea te \frac{25}{6} ki te \frac{3}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{25\times 3}{6\times 20}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

Mahia ngā whakarea i roto i te hautanga \frac{25\times 3}{6\times 20}.

$$\frac{75}{120}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

Whakahekea te hautanga \frac{75}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{5}{8}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

Tātaihia te \frac{3}{2} mā te pū o 2, kia riro ko \frac{9}{4}.

$$\frac{5}{8}+\frac{9}{4}\times \frac{1}{30}$$

Me whakarea te \frac{9}{4} ki te \frac{1}{30} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{8}+\frac{9\times 1}{4\times 30}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\times 1}{4\times 30}.

$$\frac{5}{8}+\frac{9}{120}$$

Whakahekea te hautanga \frac{9}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{8}+\frac{3}{40}$$

Ko te maha noa iti rawa atu o 8 me 40 ko 40. Me tahuri \frac{5}{8} me \frac{3}{40} ki te hautau me te tautūnga 40.

$$\frac{25}{40}+\frac{3}{40}$$

Tā te mea he rite te tauraro o \frac{25}{40} me \frac{3}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{25+3}{40}$$

Tāpirihia te 25 ki te 3, ka 28.

$$\frac{28}{40}$$

Whakahekea te hautanga \frac{28}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{7}{10}$$

Tauwehe

$$\frac{7}{2 \cdot 5} = 0.7$$