Whakaoti i te 4*(3/28+3/4)=3*(3/4-3/28)

$$4 \times ( \frac{ 3 }{ 28 } + \frac{ 3 }{ 4 } )=3 \times ( \frac{ 3 }{ 4 } - \frac{ 3 }{ 28 } )$$

Manatoko

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 28 me 4 ko 28. Me tahuri \frac{3}{28} me \frac{3}{4} ki te hautau me te tautūnga 28.

$$4\left(\frac{3}{28}+\frac{21}{28}\right)=3\left(\frac{3}{4}-\frac{3}{28}\right)$$

Tā te mea he rite te tauraro o \frac{3}{28} me \frac{21}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$4\times \frac{3+21}{28}=3\left(\frac{3}{4}-\frac{3}{28}\right)$$

Tāpirihia te 3 ki te 21, ka 24.

$$4\times \frac{24}{28}=3\left(\frac{3}{4}-\frac{3}{28}\right)$$

Whakahekea te hautanga \frac{24}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$4\times \frac{6}{7}=3\left(\frac{3}{4}-\frac{3}{28}\right)$$

Tuhia te 4\times \frac{6}{7} hei hautanga kotahi.

$$\frac{4\times 6}{7}=3\left(\frac{3}{4}-\frac{3}{28}\right)$$

Whakareatia te 4 ki te 6, ka 24.

$$\frac{24}{7}=3\left(\frac{3}{4}-\frac{3}{28}\right)$$

Ko te maha noa iti rawa atu o 4 me 28 ko 28. Me tahuri \frac{3}{4} me \frac{3}{28} ki te hautau me te tautūnga 28.

$$\frac{24}{7}=3\left(\frac{21}{28}-\frac{3}{28}\right)$$

Tā te mea he rite te tauraro o \frac{21}{28} me \frac{3}{28}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{24}{7}=3\times \frac{21-3}{28}$$

Tangohia te 3 i te 21, ka 18.

$$\frac{24}{7}=3\times \frac{18}{28}$$

Whakahekea te hautanga \frac{18}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{24}{7}=3\times \frac{9}{14}$$

Tuhia te 3\times \frac{9}{14} hei hautanga kotahi.

$$\frac{24}{7}=\frac{3\times 9}{14}$$

Whakareatia te 3 ki te 9, ka 27.

$$\frac{24}{7}=\frac{27}{14}$$

Ko te maha noa iti rawa atu o 7 me 14 ko 14. Me tahuri \frac{24}{7} me \frac{27}{14} ki te hautau me te tautūnga 14.

$$\frac{48}{14}=\frac{27}{14}$$

Whakatauritea te \frac{48}{14} me te \frac{27}{14}.

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