103/127 added to 64/4 in Fraction Form

The result of 103/127 added to 64/4 is: 16 103/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 103127 and 644.

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 103127 to 412508
Convert 644 to 8128508

Step 4: Add the Numerators

Add the numerators: 412 + 8128 = 8540

Step 5: Simplify the Fraction

We can simplify 8540508 to its lowest form.
The greatest common divisor (GCD) of 8540 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 2135127.

Step 6: Convert to Mixed Number

The fraction 2135127 can be written as the mixed number 16103127.

Final Answer

The result of 103/127 added to 64/4 is:

103127+644=16103127

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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