If a: b =1/4 : 3/8 and b: c=1/3 : 4/9 then a : c =

a:b = 1/4 : 3/8 = 2/8 : 3/8 = 2:3

b:c = 1/3 : 4/9 = 3/9 : 4/9 = 3:4
a:b:c = 2:3:4 so a:c = 2:4 = 1:2

or,

a/c = a/b * b/c = (1/4)/(3/8) * (1/3)/(4/9) = 8/12 * 9/12 = 72/144 = 1/2

THANK YOU VERY MUCH IT REALLY HELPED

To find the ratio between a and c, we can use the given ratios between a and b and between b and c.

Given that a:b = 1/4:3/8, we can simplify this ratio by multiplying the numerator and denominator by the least common multiple (LCM) of 4 and 8, which is 8.

So, a:b = (1/4)*(8/8) : (3/8)*(8/8) = 2/8 : 3/8 = 2:3.

Similarly, given that b:c = 1/3:4/9, we can simplify this ratio by multiplying the numerator and denominator by the LCM of 3 and 9, which is 9.

So, b:c = (1/3)*(9/9) : (4/9)*(9/9) = 9/27 : 4/9 = 9:4.

Now, to find the ratio between a and c, we can combine the ratios of a:b and b:c. Multiply the numerators and denominators of both ratios to get the final ratio.

a:b = 2:3
b:c = 9:4

To find a:c, we can multiply the numerators and denominators of both ratios:
a:c = (2*9) : (3*4) = 18:12.

However, to simplify the ratio, we need to divide both the numerator and denominator by their greatest common divisor (GCD), which is 6.

So, the simplified ratio between a and c is:
a:c = (18/6) : (12/6) = 3:2.

Therefore, a:c = 3:2.