26/85 added to 135/3 in Fraction Form

The result of 26/85 added to 135/3 is: 45 26/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2685 and 1353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 3 is 255.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2685 to 78255
Convert 1353 to 11475255

Step 4: Add the Numerators

Add the numerators: 78 + 11475 = 11553

Step 5: Simplify the Fraction

We can simplify 11553255 to its lowest form.
The greatest common divisor (GCD) of 11553 and 255 is 3.
Dividing both numerator and denominator by the GCD, we get 385185.

Step 6: Convert to Mixed Number

The fraction 385185 can be written as the mixed number 452685.

Final Answer

The result of 26/85 added to 135/3 is:

2685+1353=452685

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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