Whakaoti i te 4/7div8/21-6/11*22/25

$$\frac { 4 } { 7 } \div \frac { 8 } { 21 } - \frac { 6 } { 11 } \times \frac { 22 } { 25 }$$

Aromātai

$$\frac{51}{50}=1.02$$

Ngā Upane Otinga

Whakawehe \frac{4}{7} ki te \frac{8}{21} mā te whakarea \frac{4}{7} ki te tau huripoki o \frac{8}{21}.

$$\frac{4}{7}\times \frac{21}{8}-\frac{6}{11}\times \frac{22}{25}$$

Me whakarea te \frac{4}{7} ki te \frac{21}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 21}{7\times 8}-\frac{6}{11}\times \frac{22}{25}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 21}{7\times 8}.

$$\frac{84}{56}-\frac{6}{11}\times \frac{22}{25}$$

Whakahekea te hautanga \frac{84}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 28.

$$\frac{3}{2}-\frac{6}{11}\times \frac{22}{25}$$

Me whakarea te \frac{6}{11} ki te \frac{22}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3}{2}-\frac{6\times 22}{11\times 25}$$

Mahia ngā whakarea i roto i te hautanga \frac{6\times 22}{11\times 25}.

$$\frac{3}{2}-\frac{132}{275}$$

Whakahekea te hautanga \frac{132}{275} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{3}{2}-\frac{12}{25}$$

Ko te maha noa iti rawa atu o 2 me 25 ko 50. Me tahuri \frac{3}{2} me \frac{12}{25} ki te hautau me te tautūnga 50.

$$\frac{75}{50}-\frac{24}{50}$$

Tā te mea he rite te tauraro o \frac{75}{50} me \frac{24}{50}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{75-24}{50}$$

Tangohia te 24 i te 75, ka 51.

$$\frac{51}{50}$$

Tauwehe

$$\frac{3 \cdot 17}{2 \cdot 5 ^ {2}} = 1\frac{1}{50} = 1.02$$