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Tohaina

7.5\left(\frac{3}{8}+\frac{7}{10}\right)-\left(\frac{5}{2}\right)^{2}
Me tahuri ki tau ā-ira 0.7 ki te hautau \frac{7}{10}.
7.5\left(\frac{15}{40}+\frac{28}{40}\right)-\left(\frac{5}{2}\right)^{2}
Ko te maha noa iti rawa atu o 8 me 10 ko 40. Me tahuri \frac{3}{8} me \frac{7}{10} ki te hautau me te tautūnga 40.
7.5\times \frac{15+28}{40}-\left(\frac{5}{2}\right)^{2}
Tā te mea he rite te tauraro o \frac{15}{40} me \frac{28}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
7.5\times \frac{43}{40}-\left(\frac{5}{2}\right)^{2}
Tāpirihia te 15 ki te 28, ka 43.
\frac{15}{2}\times \frac{43}{40}-\left(\frac{5}{2}\right)^{2}
Me tahuri ki tau ā-ira 7.5 ki te hautau \frac{75}{10}. Whakahekea te hautanga \frac{75}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.
\frac{15\times 43}{2\times 40}-\left(\frac{5}{2}\right)^{2}
Me whakarea te \frac{15}{2} ki te \frac{43}{40} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{645}{80}-\left(\frac{5}{2}\right)^{2}
Mahia ngā whakarea i roto i te hautanga \frac{15\times 43}{2\times 40}.
\frac{129}{16}-\left(\frac{5}{2}\right)^{2}
Whakahekea te hautanga \frac{645}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.
\frac{129}{16}-\frac{25}{4}
Tātaihia te \frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.
\frac{129}{16}-\frac{100}{16}
Ko te maha noa iti rawa atu o 16 me 4 ko 16. Me tahuri \frac{129}{16} me \frac{25}{4} ki te hautau me te tautūnga 16.
\frac{129-100}{16}
Tā te mea he rite te tauraro o \frac{129}{16} me \frac{100}{16}, me tango rāua mā te tango i ō raua taurunga.
\frac{29}{16}
Tangohia te 100 i te 129, ka 29.