69/127 added to 48/6 in Fraction Form

The result of 69/127 added to 48/6 is: 8 69/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69127 and 486.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69127 to 414762
Convert 486 to 6096762

Step 4: Add the Numerators

Add the numerators: 414 + 6096 = 6510

Step 5: Simplify the Fraction

We can simplify 6510762 to its lowest form.
The greatest common divisor (GCD) of 6510 and 762 is 6.
Dividing both numerator and denominator by the GCD, we get 1085127.

Step 6: Convert to Mixed Number

The fraction 1085127 can be written as the mixed number 869127.

Final Answer

The result of 69/127 added to 48/6 is:

69127+486=869127

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: