6/87 added to 185/2 in Fraction Form

The result of 6/87 added to 185/2 is: 92 33/58

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 687 and 1852.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 2 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 687 to 12174
Convert 1852 to 16095174

Step 4: Add the Numerators

Add the numerators: 12 + 16095 = 16107

Step 5: Simplify the Fraction

We can simplify 16107174 to its lowest form.
The greatest common divisor (GCD) of 16107 and 174 is 3.
Dividing both numerator and denominator by the GCD, we get 536958.

Step 6: Convert to Mixed Number

The fraction 536958 can be written as the mixed number 923358.

Final Answer

The result of 6/87 added to 185/2 is:

687+1852=923358

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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