38/27 added to 232/2 in Fraction Form

The result of 38/27 added to 232/2 is: 117 11/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3827 and 2322.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 2 is 54.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3827 to 7654
Convert 2322 to 626454

Step 4: Add the Numerators

Add the numerators: 76 + 6264 = 6340

Step 5: Simplify the Fraction

We can simplify 634054 to its lowest form.
The greatest common divisor (GCD) of 6340 and 54 is 2.
Dividing both numerator and denominator by the GCD, we get 317027.

Step 6: Convert to Mixed Number

The fraction 317027 can be written as the mixed number 1171127.

Final Answer

The result of 38/27 added to 232/2 is:

3827+2322=1171127

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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