Whakaoti i te 5/7*3/8+5/8*5/7quadfrac{3}{5}*6*5

$$\frac { 5 } { 7 } \times \frac { 3 } { 8 } + \frac { 5 } { 8 } \times \frac { 5 } { 7 } \quad \frac { 3 } { 5 } \times 6 \times 5$$

Aromātai

$$\frac{465}{56}\approx 8.303571429$$

Ngā Upane Otinga

Me whakarea te \frac{5}{7} ki te \frac{3}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 3}{7\times 8}+\frac{5}{8}\times \frac{5}{7}\times \frac{3}{5}\times 6\times 5$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 3}{7\times 8}.

$$\frac{15}{56}+\frac{5}{8}\times \frac{5}{7}\times \frac{3}{5}\times 6\times 5$$

Me whakarea te \frac{5}{8} ki te \frac{5}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{15}{56}+\frac{5\times 5}{8\times 7}\times \frac{3}{5}\times 6\times 5$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 5}{8\times 7}.

$$\frac{15}{56}+\frac{25}{56}\times \frac{3}{5}\times 6\times 5$$

Me whakarea te \frac{25}{56} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{15}{56}+\frac{25\times 3}{56\times 5}\times 6\times 5$$

Mahia ngā whakarea i roto i te hautanga \frac{25\times 3}{56\times 5}.

$$\frac{15}{56}+\frac{75}{280}\times 6\times 5$$

Whakahekea te hautanga \frac{75}{280} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{15}{56}+\frac{15}{56}\times 6\times 5$$

Tuhia te \frac{15}{56}\times 6 hei hautanga kotahi.

$$\frac{15}{56}+\frac{15\times 6}{56}\times 5$$

Whakareatia te 15 ki te 6, ka 90.

$$\frac{15}{56}+\frac{90}{56}\times 5$$

Whakahekea te hautanga \frac{90}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{15}{56}+\frac{45}{28}\times 5$$

Tuhia te \frac{45}{28}\times 5 hei hautanga kotahi.

$$\frac{15}{56}+\frac{45\times 5}{28}$$

Whakareatia te 45 ki te 5, ka 225.

$$\frac{15}{56}+\frac{225}{28}$$

Ko te maha noa iti rawa atu o 56 me 28 ko 56. Me tahuri \frac{15}{56} me \frac{225}{28} ki te hautau me te tautūnga 56.

$$\frac{15}{56}+\frac{450}{56}$$

Tā te mea he rite te tauraro o \frac{15}{56} me \frac{450}{56}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15+450}{56}$$

Tāpirihia te 15 ki te 450, ka 465.

$$\frac{465}{56}$$

Tauwehe

$$\frac{3 \cdot 5 \cdot 31}{2 ^ {3} \cdot 7} = 8\frac{17}{56} = 8.303571428571429$$