194/82 added to 19/3 in Fraction Form

The result of 194/82 added to 19/3 is: 8 86/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19482 and 193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19482 to 582246
Convert 193 to 1558246

Step 4: Add the Numerators

Add the numerators: 582 + 1558 = 2140

Step 5: Simplify the Fraction

We can simplify 2140246 to its lowest form.
The greatest common divisor (GCD) of 2140 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 1070123.

Step 6: Convert to Mixed Number

The fraction 1070123 can be written as the mixed number 886123.

Final Answer

The result of 194/82 added to 19/3 is:

19482+193=886123

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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