Question

Find the compounded ratio of
(i) 2:3 and 4:9​

Answer 1

Answer:

ĦI ΜΔŦ€ Ħ€Ř€ IŞ ỮŘ ΔŇŞŴ€Ř

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27. Now we have 4 ratios: 4:9, 9:16, 8:27 and 9:7. We have to calculate the ratio compounded of all these ratios. That will be (4 x 9 x 8 x 9)/(9 x 16 x 27 x 7) = 2/21.

ĦØP€ IŦ ŴIŁŁ Ħ€ŁP Ữ

PŁŞŞ ΜΔŘҜ Μ€ ΔŞ Δ βŘΔIŇŁIŞŦ ØŘ ŦĦŇЖ ŦØ. Μ¥ ΔŇŞŴ€Ř

☺☺✌

Answer 2

Answer:

8:27

Step-by-step explanation:

For two or more ratios, if we take antecedent as product of antecedents of the ratios and consequent as product of consequents of the ratios, then the ratio thus formed is called mixed or compound ratio. As, compound ratio of m : n and p :  q is mp : nq.

In other words,

When two or more ratios are multiplies termwise; the ratio thus obtained is called compound ratio.

For this problem:

m:n=2:3

and p:q = 4:9

mp = 2*4=8;

nq= 3*9= 27;

then

mp:nq= 8:27;