69/151 added to 34/2 in Fraction Form

The result of 69/151 added to 34/2 is: 17 69/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69151 and 342.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 2 is 302.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69151 to 138302
Convert 342 to 5134302

Step 4: Add the Numerators

Add the numerators: 138 + 5134 = 5272

Step 5: Simplify the Fraction

We can simplify 5272302 to its lowest form.
The greatest common divisor (GCD) of 5272 and 302 is 2.
Dividing both numerator and denominator by the GCD, we get 2636151.

Step 6: Convert to Mixed Number

The fraction 2636151 can be written as the mixed number 1769151.

Final Answer

The result of 69/151 added to 34/2 is:

69151+342=1769151

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

Calculate operations between any two fractions: