Whakaoti i te -4/12divfrac{3{4}+5/12*4/3}

$$\frac { - 4 } { 12 \div \frac { 3 } { 4 } + \frac { 5 } { 12 } \times \frac { 4 } { 3 } }$$

Aromātai

$$-\frac{36}{149}\approx -0.241610738$$

Ngā Upane Otinga

Whakawehe 12 ki te \frac{3}{4} mā te whakarea 12 ki te tau huripoki o \frac{3}{4}.

$$\frac{-4}{12\times \frac{4}{3}+\frac{5}{12}\times \frac{4}{3}}$$

Tuhia te 12\times \frac{4}{3} hei hautanga kotahi.

$$\frac{-4}{\frac{12\times 4}{3}+\frac{5}{12}\times \frac{4}{3}}$$

Whakareatia te 12 ki te 4, ka 48.

$$\frac{-4}{\frac{48}{3}+\frac{5}{12}\times \frac{4}{3}}$$

Whakawehea te 48 ki te 3, kia riro ko 16.

$$\frac{-4}{16+\frac{5}{12}\times \frac{4}{3}}$$

Me whakarea te \frac{5}{12} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-4}{16+\frac{5\times 4}{12\times 3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 4}{12\times 3}.

$$\frac{-4}{16+\frac{20}{36}}$$

Whakahekea te hautanga \frac{20}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{-4}{16+\frac{5}{9}}$$

Me tahuri te 16 ki te hautau \frac{144}{9}.

$$\frac{-4}{\frac{144}{9}+\frac{5}{9}}$$

Tā te mea he rite te tauraro o \frac{144}{9} me \frac{5}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-4}{\frac{144+5}{9}}$$

Tāpirihia te 144 ki te 5, ka 149.

$$\frac{-4}{\frac{149}{9}}$$

Whakawehe -4 ki te \frac{149}{9} mā te whakarea -4 ki te tau huripoki o \frac{149}{9}.

$$-4\times \frac{9}{149}$$

Tuhia te -4\times \frac{9}{149} hei hautanga kotahi.

$$\frac{-4\times 9}{149}$$

Whakareatia te -4 ki te 9, ka -36.

$$\frac{-36}{149}$$

Ka taea te hautanga \frac{-36}{149} te tuhi anō ko -\frac{36}{149} mā te tango i te tohu tōraro.

$$-\frac{36}{149}$$

Tauwehe

$$-\frac{36}{149} = -0.24161073825503357$$