Converting 375/100 to a Mixed Number
What is a Mixed Number?
A mixed number is a combination of a whole number and a fraction. It is an expression that has both a whole part and a fractional part. For example, 2 1/2 is a mixed number, where 2 is the whole part and 1/2 is the fractional part.
Converting 375/100 to a Mixed Number
To convert the improper fraction 375/100 to a mixed number, we need to divide the numerator (375) by the denominator (100).
Step 1: Divide the Numerator by the Denominator
375 ÷ 100 = 3 with a remainder of 75
Step 2: Write the Whole Part and the Fractional Part
The whole part is 3, and the fractional part is 75/100.
Step 3: Simplify the Fractional Part
The fractional part 75/100 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25.
75 ÷ 25 = 3 100 ÷ 25 = 4
So, the simplified fractional part is 3/4.
The Mixed Number
Now, we can write the mixed number as:
3 3/4
This is the mixed number equivalent of the improper fraction 375/100.
In conclusion, converting an improper fraction to a mixed number involves dividing the numerator by the denominator and simplifying the resulting fractional part. By following these steps, we can convert 375/100 to the mixed number 3 3/4.