127/67 added to 117/6 in Fraction Form

The result of 127/67 added to 117/6 is: 21 53/134

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12767 and 1176.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 6 is 402.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12767 to 762402
Convert 1176 to 7839402

Step 4: Add the Numerators

Add the numerators: 762 + 7839 = 8601

Step 5: Simplify the Fraction

We can simplify 8601402 to its lowest form.
The greatest common divisor (GCD) of 8601 and 402 is 3.
Dividing both numerator and denominator by the GCD, we get 2867134.

Step 6: Convert to Mixed Number

The fraction 2867134 can be written as the mixed number 2153134.

Final Answer

The result of 127/67 added to 117/6 is:

12767+1176=2153134

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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