30/185 added to 86/6 in Fraction Form

The result of 30/185 added to 86/6 is: 14 55/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30185 and 866.

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 30185 to 1801110
Convert 866 to 159101110

Step 4: Add the Numerators

Add the numerators: 180 + 15910 = 16090

Step 5: Simplify the Fraction

We can simplify 160901110 to its lowest form.
The greatest common divisor (GCD) of 16090 and 1110 is 10.
Dividing both numerator and denominator by the GCD, we get 1609111.

Step 6: Convert to Mixed Number

The fraction 1609111 can be written as the mixed number 1455111.

Final Answer

The result of 30/185 added to 86/6 is:

30185+866=1455111

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

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