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:

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

Try another example

Related math problems and questions:

• Lcm 2
  Create the smallest possible number that is divisible by numbers 5,8,9,4,3
• Lcm = 22 + gcd
  The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
• Unknown integer
  Find the smallest integer: divided by 2, the remainder is 1. divided by 3, the remainder is 2. divided by 4, the remainder is 3. ... divided by eight, the remainder is 7, divided by 9 the remainder is 8.
• LCD 2
  The least common denominator of 2/5, 1/2, and 3/4
• LCM of two number
  Find the smallest multiple of 63 and 147
• Find unknown number
  What is the number between 50 and 55 that is divisible by 2,3,6,9?
• Counting number
  What is the smallest counting number divisible by 2,5,7,8, and 15?
• Lcm simple
  Find least common multiple of this two numbers: 140 175.
• LCM
  Common multiple of three numbers is 3276. One number is in this number 63 times, second 7 times, third 9 times. What are the numbers?
• LCM
  What is the least common multiple of 5, 50, 14?
• Trams
  Tram no. 3,7,10,11 rode together from the depot at 5am. Tram No. 3 returns after 2 hours, tram No. 7 an hour and half, no. 10 in 45 minutes and no. 11 in 30 minutes. For how many minutes and when these trams meet again?
• Basic form
  Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m³ 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m³ 6 min 30 s : 900 s
• Parachutists
  Parachutists during freefall firstly held in groups of 4, then of 6, then 9, 12 and finally of 18 members. How many parachutists jump at least should be, if at each group must all be involved.
• Center of gravity
  The mass points are distributed in space as follows - specify by coordinates and weight. Find the center of gravity of the mass points system: A₁ [1; -20; 3] m₁ = 46 kg A₂ [-20; 2; 9] m₂ = 81 kg A₃ [9
• Three friends
  Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
• Lcm of three numbers
  What is the Lcm of 120 15 and 5
• Game room
  Winner can took win in three types of jettons with value 3, 30 and 100 dollars. What is minimal value of win payable in this values of jettons?