How can i simplify 1 31/45 im having trouble finding the common factor, if someone can help me find the common factor i can do it from there.
Turn 1 31/45 into a improper fraction which would be 76/45. Now take the prime factorization of the numerator and denominator and see if they share any common factors:
76=2*2*19
45=3*3*5
Apparently, both do not have any common factors, so you are done.
You are welcome. Anything else I can help out with?
OK thank you i found it already but thanks really.
To simplify the fraction 1 31/45, we'll start by converting the mixed number into an improper fraction.
First, multiply the whole number (1) by the denominator (45) and add the numerator (31). This gives us:
1 * 45 + 31 = 45 + 31 = 76
Now, the improper fraction is 76/45. In order to simplify this fraction, we need to find the greatest common divisor (GCD) of both the numerator (76) and the denominator (45).
To find the GCD, we can use a method called prime factorization.
Step 1: Prime factorize the numerator (76):
76 = 2 * 2 * 19
Step 2: Prime factorize the denominator (45):
45 = 3 * 3 * 5
Now, we can identify the common prime factors:
Numerator: 2 * 2 * 19
Denominator: 3 * 3 * 5
The common factor between the numerator and denominator is the product of these common prime factors:
Common factor = 2 * 2 * 3 * 3 = 36
To simplify the fraction, we divide both the numerator and denominator by the common factor:
76 ÷ 36 = 2
45 ÷ 36 = 5/6
Therefore, the simplified form of 1 31/45 is 2 5/6.