Whakaoti i te 1/5+2/3:1/5-5/12=

$$\frac { 1 } { 5 } + \frac { 2 } { 3 } : \frac { 1 } { 5 } - \frac { 5 } { 12 } =$$

Aromātai

$$\frac{187}{60}\approx 3.116666667$$

Ngā Upane Otinga

Whakawehe \frac{2}{3} ki te \frac{1}{5} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{1}{5}.

$$\frac{1}{5}+\frac{2}{3}\times 5-\frac{5}{12}$$

Tuhia te \frac{2}{3}\times 5 hei hautanga kotahi.

$$\frac{1}{5}+\frac{2\times 5}{3}-\frac{5}{12}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{1}{5}+\frac{10}{3}-\frac{5}{12}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{1}{5} me \frac{10}{3} ki te hautau me te tautūnga 15.

$$\frac{3}{15}+\frac{50}{15}-\frac{5}{12}$$

Tā te mea he rite te tauraro o \frac{3}{15} me \frac{50}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+50}{15}-\frac{5}{12}$$

Tāpirihia te 3 ki te 50, ka 53.

$$\frac{53}{15}-\frac{5}{12}$$

Ko te maha noa iti rawa atu o 15 me 12 ko 60. Me tahuri \frac{53}{15} me \frac{5}{12} ki te hautau me te tautūnga 60.

$$\frac{212}{60}-\frac{25}{60}$$

Tā te mea he rite te tauraro o \frac{212}{60} me \frac{25}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{212-25}{60}$$

Tangohia te 25 i te 212, ka 187.

$$\frac{187}{60}$$

Tauwehe

$$\frac{11 \cdot 17}{2 ^ {2} \cdot 3 \cdot 5} = 3\frac{7}{60} = 3.1166666666666667$$