Whakaoti i te 8(frac{5/sqrt{41})-3(4/sqrt{41})}{8(5/sqrt{41})+2(4/sqrt{41})}

$$\frac{ 8( \frac{ 5 }{ \sqrt{ 41 } } )-3( \frac{ 4 }{ \sqrt{ 41 } } ) }{ 8( \frac{ 5 }{ \sqrt{ 41 } } )+2( \frac{ 4 }{ \sqrt{ 41 } } ) }$$

Aromātai

$$\frac{7}{12}\approx 0.583333333$$

Ngā Hipanga Rongoā Poto

Whakangāwaritia te tauraro o \frac{5}{\sqrt{41}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{41}.

$$\frac{8\times \frac{5\sqrt{41}}{\left(\sqrt{41}\right)^{2}}-3\times \frac{4}{\sqrt{41}}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Ko te pūrua o \sqrt{41} ko 41.

$$\frac{8\times \frac{5\sqrt{41}}{41}-3\times \frac{4}{\sqrt{41}}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Tuhia te 8\times \frac{5\sqrt{41}}{41} hei hautanga kotahi.

$$\frac{\frac{8\times 5\sqrt{41}}{41}-3\times \frac{4}{\sqrt{41}}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Whakangāwaritia te tauraro o \frac{4}{\sqrt{41}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{41}.

$$\frac{\frac{8\times 5\sqrt{41}}{41}-3\times \frac{4\sqrt{41}}{\left(\sqrt{41}\right)^{2}}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Ko te pūrua o \sqrt{41} ko 41.

$$\frac{\frac{8\times 5\sqrt{41}}{41}-3\times \frac{4\sqrt{41}}{41}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Tuhia te 3\times \frac{4\sqrt{41}}{41} hei hautanga kotahi.

$$\frac{\frac{8\times 5\sqrt{41}}{41}-\frac{3\times 4\sqrt{41}}{41}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{\frac{8\times 5\sqrt{41}}{41}-\frac{12\sqrt{41}}{41}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Tā te mea he rite te tauraro o \frac{8\times 5\sqrt{41}}{41} me \frac{12\sqrt{41}}{41}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{8\times 5\sqrt{41}-12\sqrt{41}}{41}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Mahia ngā whakarea i roto o 8\times 5\sqrt{41}-12\sqrt{41}.

$$\frac{\frac{40\sqrt{41}-12\sqrt{41}}{41}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Mahia ngā tātaitai i roto o 40\sqrt{41}-12\sqrt{41}.

$$\frac{\frac{28\sqrt{41}}{41}}{8\times \frac{5}{\sqrt{41}}+2\times \frac{4}{\sqrt{41}}}$$

Whakangāwaritia te tauraro o \frac{5}{\sqrt{41}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{41}.

$$\frac{\frac{28\sqrt{41}}{41}}{8\times \frac{5\sqrt{41}}{\left(\sqrt{41}\right)^{2}}+2\times \frac{4}{\sqrt{41}}}$$

Ko te pūrua o \sqrt{41} ko 41.

$$\frac{\frac{28\sqrt{41}}{41}}{8\times \frac{5\sqrt{41}}{41}+2\times \frac{4}{\sqrt{41}}}$$

Tuhia te 8\times \frac{5\sqrt{41}}{41} hei hautanga kotahi.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{8\times 5\sqrt{41}}{41}+2\times \frac{4}{\sqrt{41}}}$$

Whakangāwaritia te tauraro o \frac{4}{\sqrt{41}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{41}.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{8\times 5\sqrt{41}}{41}+2\times \frac{4\sqrt{41}}{\left(\sqrt{41}\right)^{2}}}$$

Ko te pūrua o \sqrt{41} ko 41.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{8\times 5\sqrt{41}}{41}+2\times \frac{4\sqrt{41}}{41}}$$

Tuhia te 2\times \frac{4\sqrt{41}}{41} hei hautanga kotahi.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{8\times 5\sqrt{41}}{41}+\frac{2\times 4\sqrt{41}}{41}}$$

Tā te mea he rite te tauraro o \frac{8\times 5\sqrt{41}}{41} me \frac{2\times 4\sqrt{41}}{41}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{8\times 5\sqrt{41}+2\times 4\sqrt{41}}{41}}$$

Mahia ngā whakarea i roto o 8\times 5\sqrt{41}+2\times 4\sqrt{41}.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{40\sqrt{41}+8\sqrt{41}}{41}}$$

Mahia ngā tātaitai i roto o 40\sqrt{41}+8\sqrt{41}.

$$\frac{\frac{28\sqrt{41}}{41}}{\frac{48\sqrt{41}}{41}}$$

Whakawehe \frac{28\sqrt{41}}{41} ki te \frac{48\sqrt{41}}{41} mā te whakarea \frac{28\sqrt{41}}{41} ki te tau huripoki o \frac{48\sqrt{41}}{41}.

$$\frac{28\sqrt{41}\times 41}{41\times 48\sqrt{41}}$$

Me whakakore tahi te 4\times 41\sqrt{41} i te taurunga me te tauraro.

$$\frac{7}{12}$$

Tauwehe

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$