Whakaoti i te 1/2-3/4/frac{3{5}-5/3}

$$\frac { \frac { 1 } { 2 } - \frac { 3 } { 4 } } { \frac { 3 } { 5 } - \frac { 5 } { 3 } }$$

Aromātai

$$\frac{15}{64}=0.234375$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{1}{2} me \frac{3}{4} ki te hautau me te tautūnga 4.

$$\frac{\frac{2}{4}-\frac{3}{4}}{\frac{3}{5}-\frac{5}{3}}$$

Tā te mea he rite te tauraro o \frac{2}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{2-3}{4}}{\frac{3}{5}-\frac{5}{3}}$$

Tangohia te 3 i te 2, ka -1.

$$\frac{-\frac{1}{4}}{\frac{3}{5}-\frac{5}{3}}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{3}{5} me \frac{5}{3} ki te hautau me te tautūnga 15.

$$\frac{-\frac{1}{4}}{\frac{9}{15}-\frac{25}{15}}$$

Tā te mea he rite te tauraro o \frac{9}{15} me \frac{25}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{1}{4}}{\frac{9-25}{15}}$$

Tangohia te 25 i te 9, ka -16.

$$\frac{-\frac{1}{4}}{-\frac{16}{15}}$$

Whakawehe -\frac{1}{4} ki te -\frac{16}{15} mā te whakarea -\frac{1}{4} ki te tau huripoki o -\frac{16}{15}.

$$-\frac{1}{4}\left(-\frac{15}{16}\right)$$

Me whakarea te -\frac{1}{4} ki te -\frac{15}{16} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-\left(-15\right)}{4\times 16}$$

Mahia ngā whakarea i roto i te hautanga \frac{-\left(-15\right)}{4\times 16}.

$$\frac{15}{64}$$

Tauwehe

$$\frac{3 \cdot 5}{2 ^ {6}} = 0.234375$$