180/85 added to 26/3 in Fraction Form

The result of 180/85 added to 26/3 is: 10 40/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18085 and 263.

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 18085 to 540255
Convert 263 to 2210255

Step 4: Add the Numerators

Add the numerators: 540 + 2210 = 2750

Step 5: Simplify the Fraction

We can simplify 2750255 to its lowest form.
The greatest common divisor (GCD) of 2750 and 255 is 5.
Dividing both numerator and denominator by the GCD, we get 55051.

Step 6: Convert to Mixed Number

The fraction 55051 can be written as the mixed number 104051.

Final Answer

The result of 180/85 added to 26/3 is:

18085+263=104051

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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