7/109 added to 159/3 in Fraction Form

The result of 7/109 added to 159/3 is: 53 7/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7109 and 1593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 3 is 327.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7109 to 21327
Convert 1593 to 17331327

Step 4: Add the Numerators

Add the numerators: 21 + 17331 = 17352

Step 5: Simplify the Fraction

We can simplify 17352327 to its lowest form.
The greatest common divisor (GCD) of 17352 and 327 is 3.
Dividing both numerator and denominator by the GCD, we get 5784109.

Step 6: Convert to Mixed Number

The fraction 5784109 can be written as the mixed number 537109.

Final Answer

The result of 7/109 added to 159/3 is:

7109+1593=537109

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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