76/127 added to 114/4 in Fraction Form

The result of 76/127 added to 114/4 is: 29 25/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 76127 and 1144.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 76127 to 304508
Convert 1144 to 14478508

Step 4: Add the Numerators

Add the numerators: 304 + 14478 = 14782

Step 5: Simplify the Fraction

We can simplify 14782508 to its lowest form.
The greatest common divisor (GCD) of 14782 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 7391254.

Step 6: Convert to Mixed Number

The fraction 7391254 can be written as the mixed number 2925254.

Final Answer

The result of 76/127 added to 114/4 is:

76127+1144=2925254

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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