127/142 added to 65/2 in Fraction Form

The result of 127/142 added to 65/2 is: 33 28/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127142 and 652.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 2 is 142.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127142 to 127142
Convert 652 to 4615142

Step 4: Add the Numerators

Add the numerators: 127 + 4615 = 4742

Step 5: Simplify the Fraction

We can simplify 4742142 to its lowest form.
The greatest common divisor (GCD) of 4742 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 237171.

Step 6: Convert to Mixed Number

The fraction 237171 can be written as the mixed number 332871.

Final Answer

The result of 127/142 added to 65/2 is:

127142+652=332871

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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