27/38 added to 13/2 in Fraction Form

The result of 27/38 added to 13/2 is: 7 4/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2738 and 132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 2 is 38.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2738 to 2738
Convert 132 to 24738

Step 4: Add the Numerators

Add the numerators: 27 + 247 = 274

Step 5: Simplify the Fraction

We can simplify 27438 to its lowest form.
The greatest common divisor (GCD) of 274 and 38 is 2.
Dividing both numerator and denominator by the GCD, we get 13719.

Step 6: Convert to Mixed Number

The fraction 13719 can be written as the mixed number 7419.

Final Answer

The result of 27/38 added to 13/2 is:

2738+132=7419

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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