Question

simplifique as frações

60/72

81/54

22/77

17/34

36/108

310/620

630/136

DE PREFERENCIA QUERO ARMADA!

Answer 1

$\frac{60}{72}=\frac{60\div12}{72\div12}=\frac{5}{6}\\ \\ \frac{22}{77}=\frac{22\div11}{77\div11}=\frac{2}{7}\\ \\ \frac{81}{54}=\frac{81\div27}{54\div57}=\frac{3}{2}\\\\ \frac{17}{34}=\frac{17\div17}{34\div17}=\frac{1}{2}\\ \\ \frac{36}{108}=\frac{36\div36}{108\div36}=\frac{1}{3}\\ \\ \frac{310}{620}=\frac{310\div310}{620\div310}=\frac{1}{2}\\ \\ \frac{630}{136}=\frac{630\div2}{136\div2}=\frac{315}{68}$

Answer 2

a) $\dfrac{60}{72}=\dfrac{2^2\times3\times5}{2^3\times3^2}=\dfrac{2^2\times3\times5\div2^2\times3}{2^3\times3^2\div2^2\times3}=\dfrac{5}{6}$

b) $\dfrac{81}{54}=\dfrac{3^4}{2\times3^3}=\dfrac{3^4\div3^3}{2\times3^3\div3^3}=\dfrac{3}{2}$

c) $\dfrac{22}{77}=\dfrac{2\times11}{7\times11}=\dfrac{2\times11\div11}{7\times11\div11}=\dfrac{2}{7}$

d) $\dfrac{17}{34}=\dfrac{17}{2\times17}=\dfrac{17\div17}{2\times17\div17}=\dfrac{1}{2}$

e) $\dfrac{36}{108}=\dfrac{2^2\times3^2}{2^2\times3^3}=\dfrac{2^2\times3^2\div2^2\times3^2}{2^2\times3^3\div2^2\times3^2}=\dfrac{1}{3}$

f) $\dfrac{310}{620}=\dfrac{310}{2\times310}=\dfrac{310\div310}{2\times310\div310}=\dfrac{1}{2}$

g) $\dfrac{630}{136}=\dfrac{2\times3^2\times5\times7}{2^3\times17}=\dfrac{2\times3^2\times5\times7\div2}{2^3\times17\div2}=\dfrac{315}{68}$