Ratio

Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order.

Correct answer:

r = 6:2:3

Step-by-step explanation:

$$\begin{gathered} a=78 \\ b=26 \\ c=39 \\ 78=2\cdot 3\cdot 13 \\ 26=2\cdot 13 \\ 39=3\cdot 13 \\ \text{GCD}(78,26,39)=13 \\ x=GCD(a,b,c)=GCD(78,26,39)=13 \\ {r}_0=a/x=78/13=6 \\ {r}_1=b/x=26/13=2 \\ {r}_2=c/x=39/13=3 \\ r=6:2:3 \end{gathered}$$

Try another example