22/127 added to 168/4 in Fraction Form

The result of 22/127 added to 168/4 is: 42 22/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22127 and 1684.

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 22127 to 88508
Convert 1684 to 21336508

Step 4: Add the Numerators

Add the numerators: 88 + 21336 = 21424

Step 5: Simplify the Fraction

We can simplify 21424508 to its lowest form.
The greatest common divisor (GCD) of 21424 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 5356127.

Step 6: Convert to Mixed Number

The fraction 5356127 can be written as the mixed number 4222127.

Final Answer

The result of 22/127 added to 168/4 is:

22127+1684=4222127

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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