75/127 added to 102/4 in Fraction Form

The result of 75/127 added to 102/4 is: 26 23/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 75127 and 1024.

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 75127 to 300508
Convert 1024 to 12954508

Step 4: Add the Numerators

Add the numerators: 300 + 12954 = 13254

Step 5: Simplify the Fraction

We can simplify 13254508 to its lowest form.
The greatest common divisor (GCD) of 13254 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 6627254.

Step 6: Convert to Mixed Number

The fraction 6627254 can be written as the mixed number 2623254.

Final Answer

The result of 75/127 added to 102/4 is:

75127+1024=2623254

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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