Can you simplify the fraction 63/323? I've tried....
Factors of 63: 1,63, 3, 21, 7, 9
Since 323 is not divisible by any of those numbers, then 63/323 is simplified.
That's what I thought at firts,but then I kept thinking I ;eft something out.... Thanks!
You're welcome.
Of course! To simplify the fraction 63/323, we need to find the greatest common divisor (GCD) of the numerator (63) and the denominator (323) and divide both numbers by it.
To find the GCD, we can use the Euclidean algorithm. We start by dividing the larger number (323) by the smaller number (63). The remainder is 28 (323 ÷ 63 = 5 remainder 28). Now, we divide the previous divisor (63) by this remainder (28). The new remainder is 7 (63 ÷ 28 = 2 remainder 7).
Next, we divide the previous divisor (28) by the new remainder (7). The remainder is 0 (28 ÷ 7 = 4 remainder 0). Since the remainder is now 0, we stop here. The last non-zero remainder is our GCD, which is 7.
Now, we divide both the numerator (63) and the denominator (323) by the GCD (7). Simplifying, we get:
63 ÷ 7 = 9
323 ÷ 7 = 46
Therefore, the simplified fraction is 9/46.