20/130 added to 139/4 in Fraction Form

The result of 20/130 added to 139/4 is: 34 47/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20130 and 1394.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 130 and 4 is 260.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20130 to 40260
Convert 1394 to 9035260

Step 4: Add the Numerators

Add the numerators: 40 + 9035 = 9075

Step 5: Simplify the Fraction

We can simplify 9075260 to its lowest form.
The greatest common divisor (GCD) of 9075 and 260 is 5.
Dividing both numerator and denominator by the GCD, we get 181552.

Step 6: Convert to Mixed Number

The fraction 181552 can be written as the mixed number 344752.

Final Answer

The result of 20/130 added to 139/4 is:

20130+1394=344752

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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