185/43 added to 26/2 in Fraction Form

The result of 185/43 added to 26/2 is: 17 13/43

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18543 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 43 and 2 is 86.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18543 to 37086
Convert 262 to 111886

Step 4: Add the Numerators

Add the numerators: 370 + 1118 = 1488

Step 5: Simplify the Fraction

We can simplify 148886 to its lowest form.
The greatest common divisor (GCD) of 1488 and 86 is 2.
Dividing both numerator and denominator by the GCD, we get 74443.

Step 6: Convert to Mixed Number

The fraction 74443 can be written as the mixed number 171343.

Final Answer

The result of 185/43 added to 26/2 is:

18543+262=171343

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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