If a:b=3:4and (m) in =2:5 find a/m :b/n
If a : b = 3 : 4 and m : n =2 : 5, find a/m : b/n
a/m : b/n = an : bm
so plug in your numbers
Good
To find a/m : b/n, we need to find the values of a, b, m, and n.
Given:
a:b = 3:4
m:n = 2:5
Since a:b = 3:4, we can say that a is 3x and b is 4x for some value of x.
Similarly, m:n = 2:5, implies that m is 2y and n is 5y for some value of y.
Now, to find a/m : b/n, we substitute the values of a, b, m, and n:
a/m = (3x)/(2y)
b/n = (4x)/(5y)
The ratio of a/m : b/n is given by:
(a/m) : (b/n) = ((3x)/(2y)) : ((4x)/(5y))
To simplify this expression, we can cross-multiply:
((3x)/(2y)) : ((4x)/(5y)) = ((3x)(5y)) : ((2y)(4x))
Simplifying further:
((3x)(5y)) : ((2y)(4x)) = (15xy) : (8xy)
Hence, the ratio a/m : b/n is 15xy : 8xy.
Note that the values of x and y cancel out in the final ratio, so the actual values of x and y do not affect the ratio. The final ratio simplifies to 15 : 8.