127/76 added to 121/4 in Fraction Form

The result of 127/76 added to 121/4 is: 31 35/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12776 and 1214.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 76 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12776 to 12776
Convert 1214 to 229976

Step 4: Add the Numerators

Add the numerators: 127 + 2299 = 2426

Step 5: Simplify the Fraction

We can simplify 242676 to its lowest form.
The greatest common divisor (GCD) of 2426 and 76 is 2.
Dividing both numerator and denominator by the GCD, we get 121338.

Step 6: Convert to Mixed Number

The fraction 121338 can be written as the mixed number 313538.

Final Answer

The result of 127/76 added to 121/4 is:

12776+1214=313538

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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