4/139 added to 171/3 in Fraction Form

The result of 4/139 added to 171/3 is: 57 4/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4139 and 1713.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 3 is 417.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4139 to 12417
Convert 1713 to 23769417

Step 4: Add the Numerators

Add the numerators: 12 + 23769 = 23781

Step 5: Simplify the Fraction

We can simplify 23781417 to its lowest form.
The greatest common divisor (GCD) of 23781 and 417 is 3.
Dividing both numerator and denominator by the GCD, we get 7927139.

Step 6: Convert to Mixed Number

The fraction 7927139 can be written as the mixed number 574139.

Final Answer

The result of 4/139 added to 171/3 is:

4139+1713=574139

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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