117/127 added to 42/2 in Fraction Form

The result of 117/127 added to 42/2 is: 21 117/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 117127 and 422.

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 117127 to 234254
Convert 422 to 5334254

Step 4: Add the Numerators

Add the numerators: 234 + 5334 = 5568

Step 5: Simplify the Fraction

We can simplify 5568254 to its lowest form.
The greatest common divisor (GCD) of 5568 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 2784127.

Step 6: Convert to Mixed Number

The fraction 2784127 can be written as the mixed number 21117127.

Final Answer

The result of 117/127 added to 42/2 is:

117127+422=21117127

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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