127/122 added to 51/3 in Fraction Form

The result of 127/122 added to 51/3 is: 18 5/122

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127122 and 513.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 122 and 3 is 366.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127122 to 381366
Convert 513 to 6222366

Step 4: Add the Numerators

Add the numerators: 381 + 6222 = 6603

Step 5: Simplify the Fraction

We can simplify 6603366 to its lowest form.
The greatest common divisor (GCD) of 6603 and 366 is 3.
Dividing both numerator and denominator by the GCD, we get 2201122.

Step 6: Convert to Mixed Number

The fraction 2201122 can be written as the mixed number 185122.

Final Answer

The result of 127/122 added to 51/3 is:

127122+513=185122

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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