22/141 added to 101/6 in Fraction Form

The result of 22/141 added to 101/6 is: 16 93/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22141 and 1016.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 141 and 6 is 282.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22141 to 44282
Convert 1016 to 4747282

Step 4: Add the Numerators

Add the numerators: 44 + 4747 = 4791

Step 5: Simplify the Fraction

We can simplify 4791282 to its lowest form.
The greatest common divisor (GCD) of 4791 and 282 is 3.
Dividing both numerator and denominator by the GCD, we get 159794.

Step 6: Convert to Mixed Number

The fraction 159794 can be written as the mixed number 169394.

Final Answer

The result of 22/141 added to 101/6 is:

22141+1016=169394

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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