129/141 added to 1/4 in Fraction Form

The result of 129/141 added to 1/4 is: 1 31/188

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 129141 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 141 and 4 is 564.

Step 3: Convert Fractions to Equivalent Fractions

Convert 129141 to 516564
Convert 14 to 141564

Step 4: Add the Numerators

Add the numerators: 516 + 141 = 657

Step 5: Simplify the Fraction

We can simplify 657564 to its lowest form.
The greatest common divisor (GCD) of 657 and 564 is 3.
Dividing both numerator and denominator by the GCD, we get 219188.

Step 6: Convert to Mixed Number

The fraction 219188 can be written as the mixed number 131188.

Final Answer

The result of 129/141 added to 1/4 is:

129141+14=131188

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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