69/185 added to 16/6 in Fraction Form

The result of 69/185 added to 16/6 is: 3 22/555

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69185 and 166.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 6 is 1110.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69185 to 4141110
Convert 166 to 29601110

Step 4: Add the Numerators

Add the numerators: 414 + 2960 = 3374

Step 5: Simplify the Fraction

We can simplify 33741110 to its lowest form.
The greatest common divisor (GCD) of 3374 and 1110 is 2.
Dividing both numerator and denominator by the GCD, we get 1687555.

Step 6: Convert to Mixed Number

The fraction 1687555 can be written as the mixed number 322555.

Final Answer

The result of 69/185 added to 16/6 is:

69185+166=322555

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).

Fraction Calculator

Calculate operations between any two fractions: