Answer:
2 Months (or more specifically, 1.6)
Step-by-step explanation:
First, convert "6/4" and "24/10" with their least common dominator. We find the LCD by using the multiples of 4 and 10.
4: 4, 8, 12. 16, 20, 24, 28, 32, 36, 40
10: 10, 20, 30, 40
The LCD is 20, so now we must covert 6/4 to ?/20.
20 ÷ 4 = 5, so we take the 5 and multiply the 6.
6 × 5 = 30.
Hence 6/4 = 30/20.
Now we convert 24/10.
20 ÷ 10 = 2.
24 × 2 = 48.
Hence 24/10 = 48/20.
So now we have the LCD for each fraction, we just need to figure out how many times "30" goes into "48".
48 ÷ 30 = 1.6
If we're going by whole months, you would round 1.6 up to 2.
Therefore, it would take 2 months to reach 24/10 centimeters (or 1.6 months if you're not rounding up).