Aromātai
\frac{19x}{44y}
Whakaroha
\frac{19x}{44y}
Pātaitai
Algebra
5 raruraru e ōrite ana ki:
\frac { 7 x - \frac { 2 x } { 3 } } { 15 y - \frac { y } { 3 } } =
Tohaina
Kua tāruatia ki te papatopenga
\frac{\frac{3\times 7x}{3}-\frac{2x}{3}}{15y-\frac{y}{3}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 7x ki te \frac{3}{3}.
\frac{\frac{3\times 7x-2x}{3}}{15y-\frac{y}{3}}
Tā te mea he rite te tauraro o \frac{3\times 7x}{3} me \frac{2x}{3}, me tango rāua mā te tango i ō raua taurunga.
\frac{\frac{21x-2x}{3}}{15y-\frac{y}{3}}
Mahia ngā whakarea i roto o 3\times 7x-2x.
\frac{\frac{19x}{3}}{15y-\frac{y}{3}}
Whakakotahitia ngā kupu rite i 21x-2x.
\frac{\frac{19x}{3}}{\frac{44}{3}y}
Pahekotia te 15y me -\frac{y}{3}, ka \frac{44}{3}y.
\frac{19x}{3\times \frac{44}{3}y}
Tuhia te \frac{\frac{19x}{3}}{\frac{44}{3}y} hei hautanga kotahi.
\frac{19x}{44y}
Me whakakore te 3 me te 3.
\frac{\frac{3\times 7x}{3}-\frac{2x}{3}}{15y-\frac{y}{3}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 7x ki te \frac{3}{3}.
\frac{\frac{3\times 7x-2x}{3}}{15y-\frac{y}{3}}
Tā te mea he rite te tauraro o \frac{3\times 7x}{3} me \frac{2x}{3}, me tango rāua mā te tango i ō raua taurunga.
\frac{\frac{21x-2x}{3}}{15y-\frac{y}{3}}
Mahia ngā whakarea i roto o 3\times 7x-2x.
\frac{\frac{19x}{3}}{15y-\frac{y}{3}}
Whakakotahitia ngā kupu rite i 21x-2x.
\frac{\frac{19x}{3}}{\frac{44}{3}y}
Pahekotia te 15y me -\frac{y}{3}, ka \frac{44}{3}y.
\frac{19x}{3\times \frac{44}{3}y}
Tuhia te \frac{\frac{19x}{3}}{\frac{44}{3}y} hei hautanga kotahi.
\frac{19x}{44y}
Me whakakore te 3 me te 3.
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