149/127 added to 22/2 in Fraction Form

The result of 149/127 added to 22/2 is: 12 22/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 149127 and 222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 149127 to 298254
Convert 222 to 2794254

Step 4: Add the Numerators

Add the numerators: 298 + 2794 = 3092

Step 5: Simplify the Fraction

We can simplify 3092254 to its lowest form.
The greatest common divisor (GCD) of 3092 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 1546127.

Step 6: Convert to Mixed Number

The fraction 1546127 can be written as the mixed number 1222127.

Final Answer

The result of 149/127 added to 22/2 is:

149127+222=1222127

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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