38/209 added to 5/4 in Fraction Form

The result of 38/209 added to 5/4 is: 1 19/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38209 and 54.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 4 is 836.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38209 to 152836
Convert 54 to 1045836

Step 4: Add the Numerators

Add the numerators: 152 + 1045 = 1197

Step 5: Simplify the Fraction

We can simplify 1197836 to its lowest form.
The greatest common divisor (GCD) of 1197 and 836 is 19.
Dividing both numerator and denominator by the GCD, we get 6344.

Step 6: Convert to Mixed Number

The fraction 6344 can be written as the mixed number 11944.

Final Answer

The result of 38/209 added to 5/4 is:

38209+54=11944

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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