35/127 added to 120/4 in Fraction Form

The result of 35/127 added to 120/4 is: 30 35/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 35127 and 1204.

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 35127 to 140508
Convert 1204 to 15240508

Step 4: Add the Numerators

Add the numerators: 140 + 15240 = 15380

Step 5: Simplify the Fraction

We can simplify 15380508 to its lowest form.
The greatest common divisor (GCD) of 15380 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 3845127.

Step 6: Convert to Mixed Number

The fraction 3845127 can be written as the mixed number 3035127.

Final Answer

The result of 35/127 added to 120/4 is:

35127+1204=3035127

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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