34/128 added to 127/6 in Fraction Form

The result of 34/128 added to 127/6 is: 21 83/192

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 34128 and 1276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 128 and 6 is 384.

Step 3: Convert Fractions to Equivalent Fractions

Convert 34128 to 102384
Convert 1276 to 8128384

Step 4: Add the Numerators

Add the numerators: 102 + 8128 = 8230

Step 5: Simplify the Fraction

We can simplify 8230384 to its lowest form.
The greatest common divisor (GCD) of 8230 and 384 is 2.
Dividing both numerator and denominator by the GCD, we get 4115192.

Step 6: Convert to Mixed Number

The fraction 4115192 can be written as the mixed number 2183192.

Final Answer

The result of 34/128 added to 127/6 is:

34128+1276=2183192

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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