14/156 added to 127/6 in Fraction Form

The result of 14/156 added to 127/6 is: 21 10/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14156 and 1276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 156 and 6 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14156 to 14156
Convert 1276 to 3302156

Step 4: Add the Numerators

Add the numerators: 14 + 3302 = 3316

Step 5: Simplify the Fraction

We can simplify 3316156 to its lowest form.
The greatest common divisor (GCD) of 3316 and 156 is 4.
Dividing both numerator and denominator by the GCD, we get 82939.

Step 6: Convert to Mixed Number

The fraction 82939 can be written as the mixed number 211039.

Final Answer

The result of 14/156 added to 127/6 is:

14156+1276=211039

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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