50/82 added to 154/4 in Fraction Form

The result of 50/82 added to 154/4 is: 39 9/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5082 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5082 to 100164
Convert 1544 to 6314164

Step 4: Add the Numerators

Add the numerators: 100 + 6314 = 6414

Step 5: Simplify the Fraction

We can simplify 6414164 to its lowest form.
The greatest common divisor (GCD) of 6414 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 320782.

Step 6: Convert to Mixed Number

The fraction 320782 can be written as the mixed number 39982.

Final Answer

The result of 50/82 added to 154/4 is:

5082+1544=39982

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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