85/15 added to 185/6 in Fraction Form

The result of 85/15 added to 185/6 is: 36 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8515 and 1856.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 6 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8515 to 17030
Convert 1856 to 92530

Step 4: Add the Numerators

Add the numerators: 170 + 925 = 1095

Step 5: Simplify the Fraction

We can simplify 109530 to its lowest form.
The greatest common divisor (GCD) of 1095 and 30 is 15.
Dividing both numerator and denominator by the GCD, we get 732.

Step 6: Convert to Mixed Number

The fraction 732 can be written as the mixed number 3612.

Final Answer

The result of 85/15 added to 185/6 is:

8515+1856=3612

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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