34/104 added to 127/4 in Fraction Form

The result of 34/104 added to 127/4 is: 32 1/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 34104 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 104 and 4 is 104.

Step 3: Convert Fractions to Equivalent Fractions

Convert 34104 to 34104
Convert 1274 to 3302104

Step 4: Add the Numerators

Add the numerators: 34 + 3302 = 3336

Step 5: Simplify the Fraction

We can simplify 3336104 to its lowest form.
The greatest common divisor (GCD) of 3336 and 104 is 8.
Dividing both numerator and denominator by the GCD, we get 41713.

Step 6: Convert to Mixed Number

The fraction 41713 can be written as the mixed number 32113.

Final Answer

The result of 34/104 added to 127/4 is:

34104+1274=32113

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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