127/136 added to 30/6 in Fraction Form

The result of 127/136 added to 30/6 is: 5 127/136

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127136 and 306.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 136 and 6 is 408.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127136 to 381408
Convert 306 to 2040408

Step 4: Add the Numerators

Add the numerators: 381 + 2040 = 2421

Step 5: Simplify the Fraction

We can simplify 2421408 to its lowest form.
The greatest common divisor (GCD) of 2421 and 408 is 3.
Dividing both numerator and denominator by the GCD, we get 807136.

Step 6: Convert to Mixed Number

The fraction 807136 can be written as the mixed number 5127136.

Final Answer

The result of 127/136 added to 30/6 is:

127136+306=5127136

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: