Whakaoti i te 5/24*15/7+2/4*5/7

$$\frac { 5 } { 24 } \times 1 \frac { 5 } { 7 } + \frac { 2 } { 4 } \times \frac { 5 } { 7 }$$

Aromātai

$$\frac{5}{7}\approx 0.714285714$$

Ngā Upane Otinga

Whakareatia te 1 ki te 7, ka 7.

$$\frac{5}{24}\times \frac{7+5}{7}+\frac{2}{4}\times \frac{5}{7}$$

Tāpirihia te 7 ki te 5, ka 12.

$$\frac{5}{24}\times \frac{12}{7}+\frac{2}{4}\times \frac{5}{7}$$

Me whakarea te \frac{5}{24} ki te \frac{12}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 12}{24\times 7}+\frac{2}{4}\times \frac{5}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 12}{24\times 7}.

$$\frac{60}{168}+\frac{2}{4}\times \frac{5}{7}$$

Whakahekea te hautanga \frac{60}{168} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{5}{14}+\frac{2}{4}\times \frac{5}{7}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{14}+\frac{1}{2}\times \frac{5}{7}$$

Me whakarea te \frac{1}{2} ki te \frac{5}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{14}+\frac{1\times 5}{2\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 5}{2\times 7}.

$$\frac{5}{14}+\frac{5}{14}$$

Tā te mea he rite te tauraro o \frac{5}{14} me \frac{5}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+5}{14}$$

Tāpirihia te 5 ki te 5, ka 10.

$$\frac{10}{14}$$

Whakahekea te hautanga \frac{10}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{7}$$

Tauwehe

$$\frac{5}{7} = 0.7142857142857143$$