Whakaoti i te 1/6text{of}(31/2-21/4)+51/8divfrac{3}{16}-frac{1}{2}

$$\frac { 1 } { 6 } \text { of } ( 3 \frac { 1 } { 2 } - 2 \frac { 1 } { 4 } ) + 5 \frac { 1 } { 8 } \div \frac { 3 } { 16 } - \frac { 1 } { 2 }$$

Aromātai

$$\frac{649}{24}\approx 27.041666667$$

Ngā Upane Otinga

Whakareatia te 3 ki te 2, ka 6.

$$\frac{1}{6}\left(\frac{6+1}{2}-\frac{2\times 4+1}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{1}{6}\left(\frac{7}{2}-\frac{2\times 4+1}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{1}{6}\left(\frac{7}{2}-\frac{8+1}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{1}{6}\left(\frac{7}{2}-\frac{9}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{7}{2} me \frac{9}{4} ki te hautau me te tautūnga 4.

$$\frac{1}{6}\left(\frac{14}{4}-\frac{9}{4}\right)+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{14}{4} me \frac{9}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{6}\times \frac{14-9}{4}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Tangohia te 9 i te 14, ka 5.

$$\frac{1}{6}\times \frac{5}{4}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Me whakarea te \frac{1}{6} ki te \frac{5}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 5}{6\times 4}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 5}{6\times 4}.

$$\frac{5}{24}+\frac{\frac{5\times 8+1}{8}}{\frac{3}{16}}-\frac{1}{2}$$

Whakawehe \frac{5\times 8+1}{8} ki te \frac{3}{16} mā te whakarea \frac{5\times 8+1}{8} ki te tau huripoki o \frac{3}{16}.

$$\frac{5}{24}+\frac{\left(5\times 8+1\right)\times 16}{8\times 3}-\frac{1}{2}$$

Me whakakore tahi te 8 i te taurunga me te tauraro.

$$\frac{5}{24}+\frac{2\left(1+5\times 8\right)}{3}-\frac{1}{2}$$

Whakareatia te 5 ki te 8, ka 40.

$$\frac{5}{24}+\frac{2\left(1+40\right)}{3}-\frac{1}{2}$$

Tāpirihia te 1 ki te 40, ka 41.

$$\frac{5}{24}+\frac{2\times 41}{3}-\frac{1}{2}$$

Whakareatia te 2 ki te 41, ka 82.

$$\frac{5}{24}+\frac{82}{3}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 24 me 3 ko 24. Me tahuri \frac{5}{24} me \frac{82}{3} ki te hautau me te tautūnga 24.

$$\frac{5}{24}+\frac{656}{24}-\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{5}{24} me \frac{656}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+656}{24}-\frac{1}{2}$$

Tāpirihia te 5 ki te 656, ka 661.

$$\frac{661}{24}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 24 me 2 ko 24. Me tahuri \frac{661}{24} me \frac{1}{2} ki te hautau me te tautūnga 24.

$$\frac{661}{24}-\frac{12}{24}$$

Tā te mea he rite te tauraro o \frac{661}{24} me \frac{12}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{661-12}{24}$$

Tangohia te 12 i te 661, ka 649.

$$\frac{649}{24}$$

Tauwehe

$$\frac{11 \cdot 59}{2 ^ {3} \cdot 3} = 27\frac{1}{24} = 27.041666666666668$$