38/74 added to 184/4 in Fraction Form

The result of 38/74 added to 184/4 is: 46 19/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3874 and 1844.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3874 to 76148
Convert 1844 to 6808148

Step 4: Add the Numerators

Add the numerators: 76 + 6808 = 6884

Step 5: Simplify the Fraction

We can simplify 6884148 to its lowest form.
The greatest common divisor (GCD) of 6884 and 148 is 4.
Dividing both numerator and denominator by the GCD, we get 172137.

Step 6: Convert to Mixed Number

The fraction 172137 can be written as the mixed number 461937.

Final Answer

The result of 38/74 added to 184/4 is:

3874+1844=461937

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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