49 1/4 Divided by 2
In this article, we will solve the problem of dividing 49 1/4 by 2.
Step 1: Convert the Mixed Number to an Improper Fraction
To divide a mixed number, we need to convert it to an improper fraction first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
The mixed number 49 1/4 can be converted to an improper fraction as follows:
49 1/4 = (49 × 4) + 1 / 4 = 196 + 1 / 4 = 197 / 4
So, the improper fraction equivalent to 49 1/4 is 197/4.
Step 2: Divide the Improper Fraction by 2
Now that we have the improper fraction, we can divide it by 2.
197 / 4 ÷ 2 = ?
To divide a fraction by a whole number, we can multiply the denominator by the whole number.
197 / 4 ÷ 2 = 197 / (4 × 2) = 197 / 8
So, the result of dividing 49 1/4 by 2 is 197/8.
Simplifying the Fraction
We can simplify the fraction 197/8 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 197 and 8 is 1, so the simplified fraction is still 197/8.
Final Answer
Therefore, 49 1/4 divided by 2 is equal to 197/8.
