80/185 added to 53/2 in Fraction Form

The result of 80/185 added to 53/2 is: 26 69/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 80185 and 532.

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 80185 to 160370
Convert 532 to 9805370

Step 4: Add the Numerators

Add the numerators: 160 + 9805 = 9965

Step 5: Simplify the Fraction

We can simplify 9965370 to its lowest form.
The greatest common divisor (GCD) of 9965 and 370 is 5.
Dividing both numerator and denominator by the GCD, we get 199374.

Step 6: Convert to Mixed Number

The fraction 199374 can be written as the mixed number 266974.

Final Answer

The result of 80/185 added to 53/2 is:

80185+532=266974

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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