69/159 added to 92/6 in Fraction Form

The result of 69/159 added to 92/6 is: 15 122/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69159 and 926.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 6 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69159 to 138318
Convert 926 to 4876318

Step 4: Add the Numerators

Add the numerators: 138 + 4876 = 5014

Step 5: Simplify the Fraction

We can simplify 5014318 to its lowest form.
The greatest common divisor (GCD) of 5014 and 318 is 2.
Dividing both numerator and denominator by the GCD, we get 2507159.

Step 6: Convert to Mixed Number

The fraction 2507159 can be written as the mixed number 15122159.

Final Answer

The result of 69/159 added to 92/6 is:

69159+926=15122159

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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