4/159 added to 139/3 in Fraction Form

The result of 4/159 added to 139/3 is: 46 19/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4159 and 1393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 3 is 159.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4159 to 4159
Convert 1393 to 7367159

Step 4: Add the Numerators

Add the numerators: 4 + 7367 = 7371

Step 5: Simplify the Fraction

We can simplify 7371159 to its lowest form.
The greatest common divisor (GCD) of 7371 and 159 is 3.
Dividing both numerator and denominator by the GCD, we get 245753.

Step 6: Convert to Mixed Number

The fraction 245753 can be written as the mixed number 461953.

Final Answer

The result of 4/159 added to 139/3 is:

4159+1393=461953

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).

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