Explicación paso a paso:
Para resolver la ecuación escribimos en unos de los miembros los términos que tienen la incógnita y en la otra los que no la tienen.
¿Qué valor tiene cada literal para que las fracciones sean equivalentes?
a)
3/5 = x/15
(3) × (15) = (x) × (5)
45 = 5x
45/5 = x
9 = x
b)
4/9 = 24/y
(4) × (y) = (24) × (9)
4y = 216
y = 216/4
y = 54
c)
5/10 = m/40
(5) × (40) = (m) × (10)
200 = 10m
200/10 = m
20 = m
d)
3/n = 18/24
(3) × (24) = (18) × (n)
72 = 18n
72/18 = n
4 = n
e)
x/5 = 16/20
(x) × (20) = (16) × (5)
20x = 80
x = 80/20
x = 4
f)
8/9 = y/27
(8) × (27) = (y) × (9)
216 = 9y
216/9 = y
24 = y
g)
4/5 = 32/m
(4) × (m) = (32) × (5)
4m = 160
m = 160/4
m = 40
h)
n/7 = 42/49
(n) × (49) = (42) × (7)
49n = 294
n = 294/49
n = 6
i)
x/7 = 18/21
(x) × (21) = (18) × (7)
21x = 126
x = 126/21
x = 6
j)
3/4 = x/24
(3) × (24) = (x) × (4)
72 = 4x
72/4 = x
18/ = x
18/24 = 24/y
(18) × (y) = (24) × (24)
18y = 576
y = 576/18
y = 32
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Verified answer
Explicación paso a paso:
Para resolver la ecuación escribimos en unos de los miembros los términos que tienen la incógnita y en la otra los que no la tienen.
¿Qué valor tiene cada literal para que las fracciones sean equivalentes?
a)
3/5 = x/15
(3) × (15) = (x) × (5)
45 = 5x
45/5 = x
9 = x
b)
4/9 = 24/y
(4) × (y) = (24) × (9)
4y = 216
y = 216/4
y = 54
c)
5/10 = m/40
(5) × (40) = (m) × (10)
200 = 10m
200/10 = m
20 = m
d)
3/n = 18/24
(3) × (24) = (18) × (n)
72 = 18n
72/18 = n
4 = n
e)
x/5 = 16/20
(x) × (20) = (16) × (5)
20x = 80
x = 80/20
x = 4
f)
8/9 = y/27
(8) × (27) = (y) × (9)
216 = 9y
216/9 = y
24 = y
g)
4/5 = 32/m
(4) × (m) = (32) × (5)
4m = 160
m = 160/4
m = 40
h)
n/7 = 42/49
(n) × (49) = (42) × (7)
49n = 294
n = 294/49
n = 6
i)
x/7 = 18/21
(x) × (21) = (18) × (7)
21x = 126
x = 126/21
x = 6
j)
3/4 = x/24
(3) × (24) = (x) × (4)
72 = 4x
72/4 = x
18/ = x
18/24 = 24/y
(18) × (y) = (24) × (24)
18y = 576
y = 576/18
y = 32