19/83 added to 182/4 in Fraction Form

The result of 19/83 added to 182/4 is: 45 121/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1983 and 1824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1983 to 76332
Convert 1824 to 15106332

Step 4: Add the Numerators

Add the numerators: 76 + 15106 = 15182

Step 5: Simplify the Fraction

We can simplify 15182332 to its lowest form.
The greatest common divisor (GCD) of 15182 and 332 is 2.
Dividing both numerator and denominator by the GCD, we get 7591166.

Step 6: Convert to Mixed Number

The fraction 7591166 can be written as the mixed number 45121166.

Final Answer

The result of 19/83 added to 182/4 is:

1983+1824=45121166

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).

Fraction Calculator

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