Whakaoti i te 32/5+22/35div111/25-3/7

$$3 \frac { 2 } { 5 } + 2 \frac { 2 } { 35 } \div 1 \frac { 11 } { 25 } - \frac { 3 } { 7 }$$

Aromātai

$$\frac{22}{5}=4.4$$

Ngā Upane Otinga

Whakareatia te 3 ki te 5, ka 15.

$$\frac{15+2}{5}+\frac{\frac{2\times 35+2}{35}}{\frac{1\times 25+11}{25}}-\frac{3}{7}$$

Tāpirihia te 15 ki te 2, ka 17.

$$\frac{17}{5}+\frac{\frac{2\times 35+2}{35}}{\frac{1\times 25+11}{25}}-\frac{3}{7}$$

Whakawehe \frac{2\times 35+2}{35} ki te \frac{1\times 25+11}{25} mā te whakarea \frac{2\times 35+2}{35} ki te tau huripoki o \frac{1\times 25+11}{25}.

$$\frac{17}{5}+\frac{\left(2\times 35+2\right)\times 25}{35\left(1\times 25+11\right)}-\frac{3}{7}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{17}{5}+\frac{5\left(2+2\times 35\right)}{7\left(11+25\right)}-\frac{3}{7}$$

Whakareatia te 2 ki te 35, ka 70.

$$\frac{17}{5}+\frac{5\left(2+70\right)}{7\left(11+25\right)}-\frac{3}{7}$$

Tāpirihia te 2 ki te 70, ka 72.

$$\frac{17}{5}+\frac{5\times 72}{7\left(11+25\right)}-\frac{3}{7}$$

Whakareatia te 5 ki te 72, ka 360.

$$\frac{17}{5}+\frac{360}{7\left(11+25\right)}-\frac{3}{7}$$

Tāpirihia te 11 ki te 25, ka 36.

$$\frac{17}{5}+\frac{360}{7\times 36}-\frac{3}{7}$$

Whakareatia te 7 ki te 36, ka 252.

$$\frac{17}{5}+\frac{360}{252}-\frac{3}{7}$$

Whakahekea te hautanga \frac{360}{252} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 36.

$$\frac{17}{5}+\frac{10}{7}-\frac{3}{7}$$

Ko te maha noa iti rawa atu o 5 me 7 ko 35. Me tahuri \frac{17}{5} me \frac{10}{7} ki te hautau me te tautūnga 35.

$$\frac{119}{35}+\frac{50}{35}-\frac{3}{7}$$

Tā te mea he rite te tauraro o \frac{119}{35} me \frac{50}{35}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{119+50}{35}-\frac{3}{7}$$

Tāpirihia te 119 ki te 50, ka 169.

$$\frac{169}{35}-\frac{3}{7}$$

Ko te maha noa iti rawa atu o 35 me 7 ko 35. Me tahuri \frac{169}{35} me \frac{3}{7} ki te hautau me te tautūnga 35.

$$\frac{169}{35}-\frac{15}{35}$$

Tā te mea he rite te tauraro o \frac{169}{35} me \frac{15}{35}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{169-15}{35}$$

Tangohia te 15 i te 169, ka 154.

$$\frac{154}{35}$$

Whakahekea te hautanga \frac{154}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{22}{5}$$

Tauwehe

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4$$