Whakaoti i te 2/3-3/4*4/11+1/3divfrac{3}{7}

$$\frac { 2 } { 3 } - \frac { 3 } { 4 } \times \frac { 4 } { 11 } + \frac { 1 } { 3 } \div \frac { 3 } { 7 }$$

Aromātai

$$\frac{116}{99}\approx 1.171717172$$

Ngā Upane Otinga

Me whakarea te \frac{3}{4} ki te \frac{4}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2}{3}-\frac{3\times 4}{4\times 11}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{2}{3}-\frac{3}{11}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

Ko te maha noa iti rawa atu o 3 me 11 ko 33. Me tahuri \frac{2}{3} me \frac{3}{11} ki te hautau me te tautūnga 33.

$$\frac{22}{33}-\frac{9}{33}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

Tā te mea he rite te tauraro o \frac{22}{33} me \frac{9}{33}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{22-9}{33}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

Tangohia te 9 i te 22, ka 13.

$$\frac{13}{33}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

Whakawehe \frac{1}{3} ki te \frac{3}{7} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{3}{7}.

$$\frac{13}{33}+\frac{1}{3}\times \frac{7}{3}$$

Me whakarea te \frac{1}{3} ki te \frac{7}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13}{33}+\frac{1\times 7}{3\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 7}{3\times 3}.

$$\frac{13}{33}+\frac{7}{9}$$

Ko te maha noa iti rawa atu o 33 me 9 ko 99. Me tahuri \frac{13}{33} me \frac{7}{9} ki te hautau me te tautūnga 99.

$$\frac{39}{99}+\frac{77}{99}$$

Tā te mea he rite te tauraro o \frac{39}{99} me \frac{77}{99}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{39+77}{99}$$

Tāpirihia te 39 ki te 77, ka 116.

$$\frac{116}{99}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 29}{3 ^ {2} \cdot 11} = 1\frac{17}{99} = 1.1717171717171717$$