Whakaoti i te (1213/25+78/17)2.5+(99/17+1012/25)2frac{1}{2}

$$(12 \frac{ 13 }{ 25 } +7 \frac{ 8 }{ 17 } )2.5+(9 \frac{ 9 }{ 17 } +10 \frac{ 12 }{ 25 } )2 \frac{ 1 }{ 2 }$$

Aromātai

$$100$$

Ngā Upane Otinga

Whakareatia te 12 ki te 25, ka 300.

$$\left(\frac{300+13}{25}+\frac{7\times 17+8}{17}\right)\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Tāpirihia te 300 ki te 13, ka 313.

$$\left(\frac{313}{25}+\frac{7\times 17+8}{17}\right)\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Whakareatia te 7 ki te 17, ka 119.

$$\left(\frac{313}{25}+\frac{119+8}{17}\right)\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Tāpirihia te 119 ki te 8, ka 127.

$$\left(\frac{313}{25}+\frac{127}{17}\right)\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 25 me 17 ko 425. Me tahuri \frac{313}{25} me \frac{127}{17} ki te hautau me te tautūnga 425.

$$\left(\frac{5321}{425}+\frac{3175}{425}\right)\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Tā te mea he rite te tauraro o \frac{5321}{425} me \frac{3175}{425}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5321+3175}{425}\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Tāpirihia te 5321 ki te 3175, ka 8496.

$$\frac{8496}{425}\times 2.5+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Me tahuri ki tau ā-ira 2.5 ki te hautau \frac{25}{10}. Whakahekea te hautanga \frac{25}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{8496}{425}\times \frac{5}{2}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Me whakarea te \frac{8496}{425} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8496\times 5}{425\times 2}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{8496\times 5}{425\times 2}.

$$\frac{42480}{850}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Whakahekea te hautanga \frac{42480}{850} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{4248}{85}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Whakareatia te 9 ki te 17, ka 153.

$$\frac{4248}{85}+\left(\frac{153+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Tāpirihia te 153 ki te 9, ka 162.

$$\frac{4248}{85}+\left(\frac{162}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Whakareatia te 10 ki te 25, ka 250.

$$\frac{4248}{85}+\left(\frac{162}{17}+\frac{250+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Tāpirihia te 250 ki te 12, ka 262.

$$\frac{4248}{85}+\left(\frac{162}{17}+\frac{262}{25}\right)\times \frac{2\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 17 me 25 ko 425. Me tahuri \frac{162}{17} me \frac{262}{25} ki te hautau me te tautūnga 425.

$$\frac{4248}{85}+\left(\frac{4050}{425}+\frac{4454}{425}\right)\times \frac{2\times 2+1}{2}$$

Tā te mea he rite te tauraro o \frac{4050}{425} me \frac{4454}{425}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4248}{85}+\frac{4050+4454}{425}\times \frac{2\times 2+1}{2}$$

Tāpirihia te 4050 ki te 4454, ka 8504.

$$\frac{4248}{85}+\frac{8504}{425}\times \frac{2\times 2+1}{2}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{4248}{85}+\frac{8504}{425}\times \frac{4+1}{2}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{4248}{85}+\frac{8504}{425}\times \frac{5}{2}$$

Me whakarea te \frac{8504}{425} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4248}{85}+\frac{8504\times 5}{425\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{8504\times 5}{425\times 2}.

$$\frac{4248}{85}+\frac{42520}{850}$$

Whakahekea te hautanga \frac{42520}{850} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{4248}{85}+\frac{4252}{85}$$

Tā te mea he rite te tauraro o \frac{4248}{85} me \frac{4252}{85}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4248+4252}{85}$$

Tāpirihia te 4248 ki te 4252, ka 8500.

$$\frac{8500}{85}$$

Whakawehea te 8500 ki te 85, kia riro ko 100.

$$100$$

Tauwehe

$$2^{2}\times 5^{2}$$