103/47 added to 99/6 in Fraction Form

The result of 103/47 added to 99/6 is: 18 65/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10347 and 996.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 6 is 282.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10347 to 618282
Convert 996 to 4653282

Step 4: Add the Numerators

Add the numerators: 618 + 4653 = 5271

Step 5: Simplify the Fraction

We can simplify 5271282 to its lowest form.
The greatest common divisor (GCD) of 5271 and 282 is 3.
Dividing both numerator and denominator by the GCD, we get 175794.

Step 6: Convert to Mixed Number

The fraction 175794 can be written as the mixed number 186594.

Final Answer

The result of 103/47 added to 99/6 is:

10347+996=186594

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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