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.

Result

r = (Correct answer is: 6:2:3)

Step-by-step explanation:

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

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