95/127 added to 122/4 in Fraction Form

The result of 95/127 added to 122/4 is: 31 63/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 95127 and 1224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 95127 to 380508
Convert 1224 to 15494508

Step 4: Add the Numerators

Add the numerators: 380 + 15494 = 15874

Step 5: Simplify the Fraction

We can simplify 15874508 to its lowest form.
The greatest common divisor (GCD) of 15874 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 7937254.

Step 6: Convert to Mixed Number

The fraction 7937254 can be written as the mixed number 3163254.

Final Answer

The result of 95/127 added to 122/4 is:

95127+1224=3163254

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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