Respuestas
Respuesta:
Explicación paso a paso:
1 Simplifica \frac{1}{2}-1
2
1
−1 a -\frac{1}{2}−
2
1
.
\frac{\frac{2}{5}\times \frac{-1}{2}+{(\frac{6}{5})}^{2}}{\frac{1}{2}+2\times \frac{-1}{10}}
2
1
+2×
10
−1
5
2
×
2
−1
+(
5
6
)
2
2 Usa Propiedad de la División Distributiva: {(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}(
y
x
)
a
=
y
a
x
a
.
\frac{\frac{2}{5}\times \frac{-1}{2}+\frac{{6}^{2}}{{5}^{2}}}{\frac{1}{2}+2\times \frac{-1}{10}}
2
1
+2×
10
−1
5
2
×
2
−1
+
5
2
6
2
3 Simplifica {6}^{2}6
2
a 3636.
\frac{\frac{2}{5}\times \frac{-1}{2}+\frac{36}{{5}^{2}}}{\frac{1}{2}+2\times \frac{-1}{10}}
2
1
+2×
10
−1
5
2
×
2
−1
+
5
2
36
4 Simplifica {5}^{2}5
2
a 2525.
\frac{\frac{2}{5}\times \frac{-1}{2}+\frac{36}{25}}{\frac{1}{2}+2\times \frac{-1}{10}}
2
1
+2×
10
−1
5
2
×
2
−1
+
25
36
5 Cancela 22.
\frac{-\frac{1}{5}+\frac{36}{25}}{\frac{1}{2}+2\times \frac{-1}{10}}
2
1
+2×
10
−1
−
5
1
+
25
36
6 Simplifica -\frac{1}{5}+\frac{36}{25}−
5
1
+
25
36
a \frac{31}{25}
25
31
.
\frac{\frac{31}{25}}{\frac{1}{2}+2\times \frac{-1}{10}}
2
1
+2×
10
−1
25
31
7 Usa esta regla: a \times \frac{b}{c}=\frac{ab}{c}a×
c
b
=
c
ab
.
\frac{\frac{31}{25}}{\frac{1}{2}+\frac{-2}{10}}
2
1
+
10
−2
25
31
8 Mueve el símbolo negativo a la izquierda.
\frac{\frac{31}{25}}{\frac{1}{2}-\frac{2}{10}}
2
1
−
10
2
25
31
9 Simplifica \frac{2}{10}
10
2
a \frac{1}{5}
5
1
.
\frac{\frac{31}{25}}{\frac{1}{2}-\frac{1}{5}}
2
1
−
5
1
25
31
10 Simplifica \frac{1}{2}-\frac{1}{5}
2
1
−
5
1
a \frac{3}{10}
10
3
.
\frac{\frac{31}{25}}{\frac{3}{10}}
10
3
25
31
11 Invierte y multiplica.
\frac{31}{25}\times \frac{10}{3}
25
31
×
3
10
12 Usa esta regla: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
25×3
31×10
13 Simplifica 31×10 a 310.
310 /25×3
14 Simplifica 25×3 a 75.
310/75
15 Simplifica.
\frac{62}{15}
62 /15
Respuesta:
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