Whakaoti i te -3/5+-2/3--1/7=

$$\frac { - 3 } { 5 } + \frac { - 2 } { 3 } - \frac { - 1 } { 7 } =$$

Aromātai

$$-\frac{118}{105}\approx -1.123809524$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-3}{5} te tuhi anō ko -\frac{3}{5} mā te tango i te tohu tōraro.

$$-\frac{3}{5}+\frac{-2}{3}-\frac{-1}{7}$$

Ka taea te hautanga \frac{-2}{3} te tuhi anō ko -\frac{2}{3} mā te tango i te tohu tōraro.

$$-\frac{3}{5}-\frac{2}{3}-\frac{-1}{7}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri -\frac{3}{5} me \frac{2}{3} ki te hautau me te tautūnga 15.

$$-\frac{9}{15}-\frac{10}{15}-\frac{-1}{7}$$

Tā te mea he rite te tauraro o -\frac{9}{15} me \frac{10}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-9-10}{15}-\frac{-1}{7}$$

Tangohia te 10 i te -9, ka -19.

$$-\frac{19}{15}-\frac{-1}{7}$$

Ka taea te hautanga \frac{-1}{7} te tuhi anō ko -\frac{1}{7} mā te tango i te tohu tōraro.

$$-\frac{19}{15}-\left(-\frac{1}{7}\right)$$

Ko te tauaro o -\frac{1}{7} ko \frac{1}{7}.

$$-\frac{19}{15}+\frac{1}{7}$$

Ko te maha noa iti rawa atu o 15 me 7 ko 105. Me tahuri -\frac{19}{15} me \frac{1}{7} ki te hautau me te tautūnga 105.

$$-\frac{133}{105}+\frac{15}{105}$$

Tā te mea he rite te tauraro o -\frac{133}{105} me \frac{15}{105}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-133+15}{105}$$

Tāpirihia te -133 ki te 15, ka -118.

$$-\frac{118}{105}$$

Tauwehe

$$-\frac{118}{105} = -1\frac{13}{105} = -1.1238095238095238$$