127/154 added to 39/2 in Fraction Form

The result of 127/154 added to 39/2 is: 20 25/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127154 and 392.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 2 is 154.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127154 to 127154
Convert 392 to 3003154

Step 4: Add the Numerators

Add the numerators: 127 + 3003 = 3130

Step 5: Simplify the Fraction

We can simplify 3130154 to its lowest form.
The greatest common divisor (GCD) of 3130 and 154 is 2.
Dividing both numerator and denominator by the GCD, we get 156577.

Step 6: Convert to Mixed Number

The fraction 156577 can be written as the mixed number 202577.

Final Answer

The result of 127/154 added to 39/2 is:

127154+392=202577

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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