17/127 added to 141/6 in Fraction Form

The result of 17/127 added to 141/6 is: 23 161/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17127 and 1416.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17127 to 102762
Convert 1416 to 17907762

Step 4: Add the Numerators

Add the numerators: 102 + 17907 = 18009

Step 5: Simplify the Fraction

We can simplify 18009762 to its lowest form.
The greatest common divisor (GCD) of 18009 and 762 is 3.
Dividing both numerator and denominator by the GCD, we get 6003254.

Step 6: Convert to Mixed Number

The fraction 6003254 can be written as the mixed number 23161254.

Final Answer

The result of 17/127 added to 141/6 is:

17127+1416=23161254

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).

Fraction Calculator

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