103/19 added to 4/6 in Fraction Form

The result of 103/19 added to 4/6 is: 6 5/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10319 and 46.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 6 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10319 to 618114
Convert 46 to 76114

Step 4: Add the Numerators

Add the numerators: 618 + 76 = 694

Step 5: Simplify the Fraction

We can simplify 694114 to its lowest form.
The greatest common divisor (GCD) of 694 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 34757.

Step 6: Convert to Mixed Number

The fraction 34757 can be written as the mixed number 6557.

Final Answer

The result of 103/19 added to 4/6 is:

10319+46=6557

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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