3.(2):4.(3)
The "()" is the repeating decimal form.
And the answer of the ratio needs to be simplified. How do you do it?
ehh i really need help :( anyone?
10x = 32.222222...
x = 3.2222222...
subtract and you have
9x = 29
x = 29/9
Similarly, 4.(3) = 4 1/3 = 37/9
So, (29/9):(37/9) = 29:37
To simplify a ratio, we need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by this GCD.
Let's start with the given ratio: 3.(2):4.(3)
Step 1: Convert the repeating decimal form into a fraction form.
We can represent 2.(3) as 2 and 1/3, and 4.(3) as 4 and 1/3.
So our ratio becomes: 3 + 2/3 : 4 + 1/3
Step 2: Find the GCD of the whole numbers.
The GCD of 3 and 4 is 1.
Step 3: Find the GCD of the fractions.
The GCD of 2 and 3 is 1.
Step 4: Simplify the ratio.
Divide both the whole numbers and the fractions by their respective GCDs:
(3 ÷ 1) + (2/3 ÷ 1) : (4 ÷ 1) + (1/3 ÷ 1)
This simplifies to:
3 + 2/3 : 4 + 1/3
Since the GCD is 1 for both the whole numbers and fractions, there isn't any further simplification needed.
So the simplified ratio is:
3 + 2/3 : 4 + 1/3