Whakaoti i te (+6/5-4/3)-(-5/2+7/3-frac{1}{6})+(-frac{4}{5}+frac{3}{4})-(-frac{7}{20})=

$$( + \frac { 6 } { 5 } - \frac { 4 } { 3 } ) - ( - \frac { 5 } { 2 } + \frac { 7 } { 3 } - \frac { 1 } { 6 } ) + ( - \frac { 4 } { 5 } + \frac { 3 } { 4 } ) - ( - \frac { 7 } { 20 } ) =$$

Aromātai

$$\frac{1}{2}=0.5$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{6}{5} me \frac{4}{3} ki te hautau me te tautūnga 15.

$$\frac{18}{15}-\frac{20}{15}-\left(-\frac{5}{2}+\frac{7}{3}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tā te mea he rite te tauraro o \frac{18}{15} me \frac{20}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{18-20}{15}-\left(-\frac{5}{2}+\frac{7}{3}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tangohia te 20 i te 18, ka -2.

$$-\frac{2}{15}-\left(-\frac{5}{2}+\frac{7}{3}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{5}{2} me \frac{7}{3} ki te hautau me te tautūnga 6.

$$-\frac{2}{15}-\left(-\frac{15}{6}+\frac{14}{6}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tā te mea he rite te tauraro o -\frac{15}{6} me \frac{14}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{2}{15}-\left(\frac{-15+14}{6}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tāpirihia te -15 ki te 14, ka -1.

$$-\frac{2}{15}-\left(-\frac{1}{6}-\frac{1}{6}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tā te mea he rite te tauraro o -\frac{1}{6} me \frac{1}{6}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{2}{15}-\frac{-1-1}{6}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tangohia te 1 i te -1, ka -2.

$$-\frac{2}{15}-\frac{-2}{6}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

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

$$-\frac{2}{15}-\left(-\frac{1}{3}\right)-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Ko te tauaro o -\frac{1}{3} ko \frac{1}{3}.

$$-\frac{2}{15}+\frac{1}{3}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri -\frac{2}{15} me \frac{1}{3} ki te hautau me te tautūnga 15.

$$-\frac{2}{15}+\frac{5}{15}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tā te mea he rite te tauraro o -\frac{2}{15} me \frac{5}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-2+5}{15}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tāpirihia te -2 ki te 5, ka 3.

$$\frac{3}{15}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

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

$$\frac{1}{5}-\frac{4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tā te mea he rite te tauraro o \frac{1}{5} me \frac{4}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-4}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Tangohia te 4 i te 1, ka -3.

$$-\frac{3}{5}+\frac{3}{4}-\left(-\frac{7}{20}\right)$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri -\frac{3}{5} me \frac{3}{4} ki te hautau me te tautūnga 20.

$$-\frac{12}{20}+\frac{15}{20}-\left(-\frac{7}{20}\right)$$

Tā te mea he rite te tauraro o -\frac{12}{20} me \frac{15}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-12+15}{20}-\left(-\frac{7}{20}\right)$$

Tāpirihia te -12 ki te 15, ka 3.

$$\frac{3}{20}-\left(-\frac{7}{20}\right)$$

Ko te tauaro o -\frac{7}{20} ko \frac{7}{20}.

$$\frac{3}{20}+\frac{7}{20}$$

Tā te mea he rite te tauraro o \frac{3}{20} me \frac{7}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+7}{20}$$

Tāpirihia te 3 ki te 7, ka 10.

$$\frac{10}{20}$$

Whakahekea te hautanga \frac{10}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{1}{2}$$

Tauwehe

$$\frac{1}{2} = 0.5$$