82/154 added to 4/2 in Fraction Form

The result of 82/154 added to 4/2 is: 2 41/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82154 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 2 is 154.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82154 to 82154
Convert 42 to 308154

Step 4: Add the Numerators

Add the numerators: 82 + 308 = 390

Step 5: Simplify the Fraction

We can simplify 390154 to its lowest form.
The greatest common divisor (GCD) of 390 and 154 is 2.
Dividing both numerator and denominator by the GCD, we get 19577.

Step 6: Convert to Mixed Number

The fraction 19577 can be written as the mixed number 24177.

Final Answer

The result of 82/154 added to 4/2 is:

82154+42=24177

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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