To simplify the expression 23 5 over 100, we first need to convert the mixed number into an improper fraction. The mixed number 23 5 can be written as:
- 23 + 5/100
Next, let’s express this as:
- 23 = 2300/100
- 5/100 = 5/100
Combining these gives us:
- 2300/100 + 5/100 = (2300 + 5)/100 = 2305/100
Now we have the improper fraction 2305/100. To simplify, we need to find the greatest common divisor (GCD) of 2305 and 100. The GCD is 5.
Now we divide both the numerator and the denominator by the GCD:
- 2305 ÷ 5 = 461
- 100 ÷ 5 = 20
So, the simplified form of 23 5 over 100 is:
- 461/20
You could also express this as a mixed number:
- 461 ÷ 20 = 23 with a remainder of 1
So, another way to write it is:
- 23 1/20