Whakaoti i te 1/8*3.14*100-1/4*3.14*25=1/2*5*5=

$$\frac { 1 } { 8 } \times 3.14 \times 100 - \frac { 1 } { 4 } \times 3.14 \times 25 = \frac { 1 } { 2 } \times 5 \times 5 =$$

Manatoko

Ngā Upane Otinga

Me tahuri ki tau ā-ira 3.14 ki te hautau \frac{314}{100}. Whakahekea te hautanga \frac{314}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{8}\times \frac{157}{50}\times 100-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Me whakarea te \frac{1}{8} ki te \frac{157}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 157}{8\times 50}\times 100-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 157}{8\times 50}.

$$\frac{157}{400}\times 100-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Tuhia te \frac{157}{400}\times 100 hei hautanga kotahi.

$$\frac{157\times 100}{400}-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Whakareatia te 157 ki te 100, ka 15700.

$$\frac{15700}{400}-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Whakahekea te hautanga \frac{15700}{400} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 100.

$$\frac{157}{4}-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Me tahuri ki tau ā-ira 3.14 ki te hautau \frac{314}{100}. Whakahekea te hautanga \frac{314}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{157}{4}-\frac{1}{4}\times \frac{157}{50}\times 25=\frac{1}{2}\times 5\times 5$$

Me whakarea te \frac{1}{4} ki te \frac{157}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{157}{4}-\frac{1\times 157}{4\times 50}\times 25=\frac{1}{2}\times 5\times 5$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 157}{4\times 50}.

$$\frac{157}{4}-\frac{157}{200}\times 25=\frac{1}{2}\times 5\times 5$$

Tuhia te \frac{157}{200}\times 25 hei hautanga kotahi.

$$\frac{157}{4}-\frac{157\times 25}{200}=\frac{1}{2}\times 5\times 5$$

Whakareatia te 157 ki te 25, ka 3925.

$$\frac{157}{4}-\frac{3925}{200}=\frac{1}{2}\times 5\times 5$$

Whakahekea te hautanga \frac{3925}{200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{157}{4}-\frac{157}{8}=\frac{1}{2}\times 5\times 5$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{157}{4} me \frac{157}{8} ki te hautau me te tautūnga 8.

$$\frac{314}{8}-\frac{157}{8}=\frac{1}{2}\times 5\times 5$$

Tā te mea he rite te tauraro o \frac{314}{8} me \frac{157}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{314-157}{8}=\frac{1}{2}\times 5\times 5$$

Tangohia te 157 i te 314, ka 157.

$$\frac{157}{8}=\frac{1}{2}\times 5\times 5$$

Whakareatia te \frac{1}{2} ki te 5, ka \frac{5}{2}.

$$\frac{157}{8}=\frac{5}{2}\times 5$$

Tuhia te \frac{5}{2}\times 5 hei hautanga kotahi.

$$\frac{157}{8}=\frac{5\times 5}{2}$$

Whakareatia te 5 ki te 5, ka 25.

$$\frac{157}{8}=\frac{25}{2}$$

Ko te maha noa iti rawa atu o 8 me 2 ko 8. Me tahuri \frac{157}{8} me \frac{25}{2} ki te hautau me te tautūnga 8.

$$\frac{157}{8}=\frac{100}{8}$$

Whakatauritea te \frac{157}{8} me te \frac{100}{8}.

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