127/114 added to 49/3 in Fraction Form

The result of 127/114 added to 49/3 is: 17 17/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127114 and 493.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 114 and 3 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127114 to 127114
Convert 493 to 1862114

Step 4: Add the Numerators

Add the numerators: 127 + 1862 = 1989

Step 5: Simplify the Fraction

We can simplify 1989114 to its lowest form.
The greatest common divisor (GCD) of 1989 and 114 is 3.
Dividing both numerator and denominator by the GCD, we get 66338.

Step 6: Convert to Mixed Number

The fraction 66338 can be written as the mixed number 171738.

Final Answer

The result of 127/114 added to 49/3 is:

127114+493=171738

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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