69/38 added to 37/2 in Fraction Form

The result of 69/38 added to 37/2 is: 20 6/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6938 and 372.

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 6938 to 6938
Convert 372 to 70338

Step 4: Add the Numerators

Add the numerators: 69 + 703 = 772

Step 5: Simplify the Fraction

We can simplify 77238 to its lowest form.
The greatest common divisor (GCD) of 772 and 38 is 2.
Dividing both numerator and denominator by the GCD, we get 38619.

Step 6: Convert to Mixed Number

The fraction 38619 can be written as the mixed number 20619.

Final Answer

The result of 69/38 added to 37/2 is:

6938+372=20619

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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