89/185 added to 26/2 in Fraction Form

The result of 89/185 added to 26/2 is: 13 89/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 89185 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 2 is 370.

Step 3: Convert Fractions to Equivalent Fractions

Convert 89185 to 178370
Convert 262 to 4810370

Step 4: Add the Numerators

Add the numerators: 178 + 4810 = 4988

Step 5: Simplify the Fraction

We can simplify 4988370 to its lowest form.
The greatest common divisor (GCD) of 4988 and 370 is 2.
Dividing both numerator and denominator by the GCD, we get 2494185.

Step 6: Convert to Mixed Number

The fraction 2494185 can be written as the mixed number 1389185.

Final Answer

The result of 89/185 added to 26/2 is:

89185+262=1389185

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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