38/154 added to 84/2 in Fraction Form

The result of 38/154 added to 84/2 is: 42 19/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38154 and 842.

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 38154 to 38154
Convert 842 to 6468154

Step 4: Add the Numerators

Add the numerators: 38 + 6468 = 6506

Step 5: Simplify the Fraction

We can simplify 6506154 to its lowest form.
The greatest common divisor (GCD) of 6506 and 154 is 2.
Dividing both numerator and denominator by the GCD, we get 325377.

Step 6: Convert to Mixed Number

The fraction 325377 can be written as the mixed number 421977.

Final Answer

The result of 38/154 added to 84/2 is:

38154+842=421977

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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