Whakaoti i te 8/5/frac{2{25}-5/16}=171/5

$$\frac{ \frac{ 8 }{ 5 } }{ \frac{ 2 }{ 25 } - \frac{ 5 }{ 16 } } =17 \frac{ 1 }{ 5 }$$

Manatoko

Ngā Upane Otinga

Whakareatia ngā taha e rua o te whārite ki te 5.

$$-\frac{2000}{93}\times \frac{8}{5}=17\times 5+1$$

Me whakarea te -\frac{2000}{93} ki te \frac{8}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-2000\times 8}{93\times 5}=17\times 5+1$$

Mahia ngā whakarea i roto i te hautanga \frac{-2000\times 8}{93\times 5}.

$$\frac{-16000}{465}=17\times 5+1$$

Whakahekea te hautanga \frac{-16000}{465} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{3200}{93}=17\times 5+1$$

Whakareatia te 17 ki te 5, ka 85.

$$-\frac{3200}{93}=85+1$$

Tāpirihia te 85 ki te 1, ka 86.

$$-\frac{3200}{93}=86$$

Me tahuri te 86 ki te hautau \frac{7998}{93}.

$$-\frac{3200}{93}=\frac{7998}{93}$$

Whakatauritea te -\frac{3200}{93} me te \frac{7998}{93}.

$$\text{false}$$