118/102 added to 85/6 in Fraction Form

The result of 118/102 added to 85/6 is: 15 11/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118102 and 856.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 6 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118102 to 118102
Convert 856 to 1445102

Step 4: Add the Numerators

Add the numerators: 118 + 1445 = 1563

Step 5: Simplify the Fraction

We can simplify 1563102 to its lowest form.
The greatest common divisor (GCD) of 1563 and 102 is 3.
Dividing both numerator and denominator by the GCD, we get 52134.

Step 6: Convert to Mixed Number

The fraction 52134 can be written as the mixed number 151134.

Final Answer

The result of 118/102 added to 85/6 is:

118102+856=151134

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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