130/39 added to 127/4 in Fraction Form

The result of 130/39 added to 127/4 is: 35 1/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13039 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13039 to 520156
Convert 1274 to 4953156

Step 4: Add the Numerators

Add the numerators: 520 + 4953 = 5473

Step 5: Simplify the Fraction

We can simplify 5473156 to its lowest form.
The greatest common divisor (GCD) of 5473 and 156 is 13.
Dividing both numerator and denominator by the GCD, we get 42112.

Step 6: Convert to Mixed Number

The fraction 42112 can be written as the mixed number 35112.

Final Answer

The result of 130/39 added to 127/4 is:

13039+1274=35112

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: