127/43 added to 136/4 in Fraction Form

The result of 127/43 added to 136/4 is: 36 41/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12743 and 1364.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12743 to 508172
Convert 1364 to 5848172

Step 4: Add the Numerators

Add the numerators: 508 + 5848 = 6356

Step 5: Simplify the Fraction

We can simplify 6356172 to its lowest form.
The greatest common divisor (GCD) of 6356 and 172 is 4.
Dividing both numerator and denominator by the GCD, we get 158943.

Step 6: Convert to Mixed Number

The fraction 158943 can be written as the mixed number 364143.

Final Answer

The result of 127/43 added to 136/4 is:

12743+1364=364143

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

Calculate operations between any two fractions: