157/127 added to 22/2 in Fraction Form

The result of 157/127 added to 22/2 is: 12 30/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 157127 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 157127 to 314254
Convert 222 to 2794254

Step 4: Add the Numerators

Add the numerators: 314 + 2794 = 3108

Step 5: Simplify the Fraction

We can simplify 3108254 to its lowest form.
The greatest common divisor (GCD) of 3108 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 1554127.

Step 6: Convert to Mixed Number

The fraction 1554127 can be written as the mixed number 1230127.

Final Answer

The result of 157/127 added to 22/2 is:

157127+222=1230127

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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