How do I solve this problem? A horses mane grows at a rate of 6/4 centimeters per month. How many months will it take for the horses mane to grow 24/10 centimeters?

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).

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step-by-step explanation: