14/135 added to 102/2 in Fraction Form

The result of 14/135 added to 102/2 is: 51 14/135

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14135 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 2 is 270.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14135 to 28270
Convert 1022 to 13770270

Step 4: Add the Numerators

Add the numerators: 28 + 13770 = 13798

Step 5: Simplify the Fraction

We can simplify 13798270 to its lowest form.
The greatest common divisor (GCD) of 13798 and 270 is 2.
Dividing both numerator and denominator by the GCD, we get 6899135.

Step 6: Convert to Mixed Number

The fraction 6899135 can be written as the mixed number 5114135.

Final Answer

The result of 14/135 added to 102/2 is:

14135+1022=5114135

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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