Whakaoti i te 1/2text{of}(4/3*31/2div7/4-frac{1}{2})=?

$$\frac { 1 } { 2 } \text { of } ( \frac { 4 } { 3 } \times 3 \frac { 1 } { 2 } \div \frac { 7 } { 4 } - \frac { 1 } { 2 } ) = ?$$

Aromātai

$$\frac{13}{12}\approx 1.083333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 2, ka 6.

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

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{1}{2}\left(\frac{\frac{4}{3}\times \frac{7}{2}}{\frac{7}{4}}-\frac{1}{2}\right)$$

Me whakarea te \frac{4}{3} ki te \frac{7}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}\left(\frac{\frac{4\times 7}{3\times 2}}{\frac{7}{4}}-\frac{1}{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 7}{3\times 2}.

$$\frac{1}{2}\left(\frac{\frac{28}{6}}{\frac{7}{4}}-\frac{1}{2}\right)$$

Whakahekea te hautanga \frac{28}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{2}\left(\frac{\frac{14}{3}}{\frac{7}{4}}-\frac{1}{2}\right)$$

Whakawehe \frac{14}{3} ki te \frac{7}{4} mā te whakarea \frac{14}{3} ki te tau huripoki o \frac{7}{4}.

$$\frac{1}{2}\left(\frac{14}{3}\times \frac{4}{7}-\frac{1}{2}\right)$$

Me whakarea te \frac{14}{3} ki te \frac{4}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}\left(\frac{14\times 4}{3\times 7}-\frac{1}{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{14\times 4}{3\times 7}.

$$\frac{1}{2}\left(\frac{56}{21}-\frac{1}{2}\right)$$

Whakahekea te hautanga \frac{56}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{1}{2}\left(\frac{8}{3}-\frac{1}{2}\right)$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{8}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{1}{2}\left(\frac{16}{6}-\frac{3}{6}\right)$$

Tā te mea he rite te tauraro o \frac{16}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}\times \frac{16-3}{6}$$

Tangohia te 3 i te 16, ka 13.

$$\frac{1}{2}\times \frac{13}{6}$$

Me whakarea te \frac{1}{2} ki te \frac{13}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 13}{2\times 6}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 13}{2\times 6}.

$$\frac{13}{12}$$

Tauwehe

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$