Whakaoti i te -21/4div15/32div36/25

$$- 2 \frac { 1 } { 4 } \div \frac { 15 } { 32 } \div \frac { 36 } { 25 }$$

Aromātai

$$-\frac{10}{3}\approx -3.333333333$$

Ngā Upane Otinga

Whakawehe \frac{-\frac{2\times 4+1}{4}}{\frac{15}{32}} ki te \frac{36}{25} mā te whakarea \frac{-\frac{2\times 4+1}{4}}{\frac{15}{32}} ki te tau huripoki o \frac{36}{25}.

$$\frac{\left(-\frac{2\times 4+1}{4}\right)\times 25}{\frac{15}{32}\times 36}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{\left(-\frac{8+1}{4}\right)\times 25}{\frac{15}{32}\times 36}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{-\frac{9}{4}\times 25}{\frac{15}{32}\times 36}$$

Tuhia te -\frac{9}{4}\times 25 hei hautanga kotahi.

$$\frac{\frac{-9\times 25}{4}}{\frac{15}{32}\times 36}$$

Whakareatia te -9 ki te 25, ka -225.

$$\frac{\frac{-225}{4}}{\frac{15}{32}\times 36}$$

Ka taea te hautanga \frac{-225}{4} te tuhi anō ko -\frac{225}{4} mā te tango i te tohu tōraro.

$$\frac{-\frac{225}{4}}{\frac{15}{32}\times 36}$$

Tuhia te \frac{15}{32}\times 36 hei hautanga kotahi.

$$\frac{-\frac{225}{4}}{\frac{15\times 36}{32}}$$

Whakareatia te 15 ki te 36, ka 540.

$$\frac{-\frac{225}{4}}{\frac{540}{32}}$$

Whakahekea te hautanga \frac{540}{32} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{-\frac{225}{4}}{\frac{135}{8}}$$

Whakawehe -\frac{225}{4} ki te \frac{135}{8} mā te whakarea -\frac{225}{4} ki te tau huripoki o \frac{135}{8}.

$$-\frac{225}{4}\times \frac{8}{135}$$

Me whakarea te -\frac{225}{4} ki te \frac{8}{135} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-225\times 8}{4\times 135}$$

Mahia ngā whakarea i roto i te hautanga \frac{-225\times 8}{4\times 135}.

$$\frac{-1800}{540}$$

Whakahekea te hautanga \frac{-1800}{540} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 180.

$$-\frac{10}{3}$$

Tauwehe

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$