184/76 added to 4/2 in Fraction Form

The result of 184/76 added to 4/2 is: 4 8/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18476 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 76 and 2 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18476 to 18476
Convert 42 to 15276

Step 4: Add the Numerators

Add the numerators: 184 + 152 = 336

Step 5: Simplify the Fraction

We can simplify 33676 to its lowest form.
The greatest common divisor (GCD) of 336 and 76 is 4.
Dividing both numerator and denominator by the GCD, we get 8419.

Step 6: Convert to Mixed Number

The fraction 8419 can be written as the mixed number 4819.

Final Answer

The result of 184/76 added to 4/2 is:

18476+42=4819

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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